Presentations

Canadian Mathematical Society Annual Meeting, December 1-4, 2023, Montreal, Quebec  

4th Biennial Meeting of SIAM Pacific Northwest Section, October 13-15, 2023, Bellingham

2nd Workshop on Numerical Methods for Spectral Problems: Theory and Applications, August 26-31, 2023, Lake Akan

10th International Congress on Industrial and Applied Mathematics, August 20-25, 2023, Tokyo

US National Congress on Computational Mechanics, July 24, 2023, Albuquerque

University of Washington, May 11, 2023

University of British Columbia, February 7, 2023

Cardiff University, November 14, 2022

Gonzaga University, November 4, 2022

Western Washington University, October 27, 2022

Lewis & Clark College, September 22, 2022

 A Computational Approach for Exploring Spatial Localization of Eigenvectors.  BIRS Workshop: Mathematical aspects of physics with non-selfadjoint operators, Banff, Canada, July 10-15, 2022

Concerning eigenvector localization.  8th European Seminar on Computing, Pilsen, Czech Republic, June 13-17, 2022

Computing with Poisson Elements on Curvilinear Polygons.  CSF Workshop on Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics, Monte Verita, Ascona, Switzerland, June 1-4, 2022

An algorithm template for exploring eigenvector localization.  SIAM PNWS Biennial Meeting, Washington State University, Vancouver, WA, May 20-22, 2022

An algorithm for exploring eigenvector localization.  Applied Mathematics and Computation Seminar (virtual), Oregon State University, Corvallis, Oregon, September 24, 2021. 

Quadrature for implicitly-defined finite element functions on curvilinear polygonal meshes. 16th US National Congress on Computational Mechanics (virtual), Chicago, Illinois, July 25-29, 2021.

An algorithm for exploring eigenvector localization. SIAM Annual Meeting (virtual), Spokane, Washington, July 19-23, 2021.

An approach for exploring eigenvector localization.  Caleta Numerica Seminar (virtual), Pontificia Universidad Católica de Valparaíso, Valparaíso, Chile. May 7, 2021.

Exploring eigenvector localization using filtered subspace iteration (FEAST).  CMS Winter Meeting (virtual), December 3-8, 2020.

A Finite Element Method on Exotic Meshes.  Caleta Numerica Seminar (virtual), Pontificia Universidad Católica de Valparaíso, Valparaíso, Chile. September 4, 2020.

A Posteriori Error Estimation for Eigenvalue/vector Clusters, 2nd SIAM Pacific Northwest Section Meeting, Seattle University, Seattle, Washington, October 18, 2019.

A Finite Element Methods on Exotic Meshes. Mathematics Department Colloquium, Michigan Technological University, Houghton, Michigan, October 4, 2019.

Filtered subspace iteration for selfadjoint operator eigenvalue problems. RIMS Workshop on Numerical Methods for Spectral Problems, Kyoto, Japan, September 1-4, 2019.

Trefftz Finite Element Methods on Meshes Consisting of Curvilinear Polygons. 16th Conference on the Mathematics of Finite Elements and Applications (MAFELAP), London (Uxbridge), UK, June 20, 2019.

Discretization Errors in Filtered Subspace Iteration for Selfadjoint Operators. 16th Conference on the Mathematics of Finite Elements and Applications (MAFELAP), London (Uxbridge), UK, June 19, 2019.

A Trefftz Finite Element Method on Exotic Meshes. Computational Mathematics Seminar, Aalto University, Helsinki, Finland, June 17, 2019.

A Finite Element Method on Exotic Meshes. AMS Spring Central and Western Joint Sectional Meeting, University of Hawaii at Manoa, Honolulu, March 22, 2019.

A Finite Element Method on Exotic Meshes. Mathematics Department Colloquium, Oregon State University, Corvallis, Nov. 26, 2018.

Filtered subspace iteration for selfadjoint operator eigenvalue problems. BIRS Workshop "Spectral Geometry: Theory, Numerical Analysis and Applications", Banff, Alberta, July 1-6, 2018.

A Trefftz-Nyström finite element method. SIAM Annual Meeting, Portland, July 9-13, 2018.

Filtered subspace iteration for selfadjoint operator eigenvalue problems. 6th European Congress on Computational Mechanics, Glasgow, UK, June 11-15, 2018.

A Trefftz-Nyström method for finite elements on (curvilinear) polygonal meshes. AMS Western Section Meeting, Portland, April 14-15, 2018.

Filtered subspace iteration for selfadjoint operator eigenvalue problems. SIAM Pacific Northwest Section Meeting, Corvallis, October 27-29, 2017.

Filtered subspace iteration for selfadjoint operators. Mathematics Department Colloquium, University of California, San Diego, October 19, 2017.

The spectral projector for eigenvalue/vector approximation and error estimation. Mathematics Department Colloquium, University of Arizona, Tucson, Apr. 13, 2017.

The spectral projector for eigenvalue/vector approximation and error estimation. SIAM Conference on Computational Science and Engineering, Atlanta, Feb. 28, 2017.

Auxiliary subspace techniques as a general-purpose approach for a posteriori error estimation in finite element methods. Seminar on Numerical Mathematics and Scientific Computing, University of Zagreb, Croatia, September 15, 2016.

Auxiliary subpsace techniques as a general-purpose approach for a posteriori error estimation. Oberwolfach workshop: Self-Adaptive Numerical Methods for Computationally Challenging Problems. Oberwolfach, Germany, September 4-10, 2016.

Theoretical and computational excursions with the Laplacian. Mathematics & Statistics Seminar, Washington State University, Vancouver, WA, August 31, 2016.

A Nyström-based finite element method on polygonal elements. 15th Conference on the Mathematics of Finite Elements and Applications (MAFELAP), London (Uxbridge), UK, June 14-17, 2016.

Auxiliary subspace error estimates for elliptic problems. 15th Conference on the Mathematics of Finite Elements and Applications (MAFELAP), London (Uxbrige), UK, June 14-17, 2016.

A framework for robust estimation of error in eigenvalue computations for non-self-adjoint operators. Computational and Applied Math Seminar. Arizona State University, Tempe, Arizona, February 15, 2016.

A framework for robust estimation of error in eigenvalue computations for non-self-adjoint operators. European Conference on Numerical Mathematics and Advanced Applications (ENUMATH). Ankara, Turkey, September 14-18, 2015.

A framework for robust estimation of error in eigenvalue computations for non-self-adjoint operators. 8th International Congress on Industrial and Applied Mathematics (ICIAM). Beijing, China, August 9-14, 2015.

Auxiliary subspace error estimation for Galerkin (Finite Element) discretizations. 8th International Congress on Industrial and Applied Mathematics (ICIAM). Beijing, China, August 9-14, 2015.

Auxiliary subspace error estimation for Galerkin (Finite Element) discretizations. 13th US National Congress on Computational Mechanics (USNCCM XIII). San Diego, CA, July 27-30, 2015.

Hierarchical error estimation and adaptive approximation with a view toward marine FEM. 9th Annual Seafloor Electromagnetic Methods Consortium Workshop. La Jolla, California, March 17-19, 2015.

On the numerical treatment of elliptic eigenvalue problems. Departmental colloquium, Lewis & Clark College. Portland, Oregon, February 18, 2015.

A framework for robust estimation of error in eigenvalue computations for non-self-adjoint operators. Numerical Analysis Seminar, Texas A&M. College Station, Texas, February 4, 2015

A framework for robust estimation of error in eigenvalue computations for non-self-adjoint operators. Departmental colloquium, Indian Institute of Technology, Kanpur. November 27, 2014.

Finite element error estimation for a Schrödinger operator with inverse-square potential. Departmental colloquium, Indian Institute of Technology, Kanpur. November 26, 2014.

Auxiliary subspace error estimation for Galerkin (Finite Element) discretizations. Departmental colloquium, Indian Institute of Technology, Kanpur. November 25, 2014.

Finite element error estimation for boundary value and eigenvalue problems associated with a Schrödinger operator. 11th World Congress on Computational Mechanics (WCCM XI). Barcelona, Spain, July 20-25, 2014.

Finite element error estimation for boundary value and eigenvalue problems associated with a Schrödinger operator. Oberwolfach workshop: Schnelle Löser für partielle Differentialgleichungen. Oberwolfach, Germany, May 12-16, 2014.

Finite element error estimation for boundary value and eigenvalue problems associated with a Schrödinger operator. Oregon State University, Department Colloquium, Jan. 13, 2014.

A posteriori estimation of hierarchical type for a Schrödinger operator with inverse square potential. SIAM Annual Meeting, San Diego, July 8-12, 2013.

Auxiliary subspace error estimation for high-order finite element eigenvalue approximations. The Mathematics of Finite Elements and Applications (MAFELAP 2013), Brunel, London, June 10-14, 2013.

A posteriori estimation of hierarchical type for a Schrödinger operator with inverse square potential. The Mathematics of Finite Elements and Applications (MAFELAP 2013), Brunel, London, June 10-14, 2013.

A posteriori estimation of hierarchical type for the Schrödinger operator with inverse square potential on graded meshes. 4th International Congress on Computational Engineering and Sciences (FEMTEC 2013), Las Vegas, May 19 - 24, 2013.

Robust and flexible a posteriore error estimation using auxiliary subspace techniques. University of Pittsburgh, Computational Mathematics Seminar, March 26, 2013.

A posteriori estimation of hierarchical type for the Schrödinger operator with inverse square potential on graded meshes. Special Session on Mathematics of Computation: Differential Equations, Linear Algebra, and Applications; Joint Mathematics Meetings, San Diego, California, January 9-12, 2013.

Robust and flexible a posteriori error estimation using auxiliary subspace techniques. Portland State University, Departmental Colloquium, Jan. 22, 2013.

Error estimation and adaptivity for elliptic eigenvalue problems. UCSD Workshop of Finite Element Exterior Calculus and Adaptive Finite Element Methods, January 14-25 (Jan. 15), 2013.

A posteriori estimation of hierarchical type for the Schrödinger operator with inverse square potential on graded meshes. Special Session on Mathematics of Computation: Differential Equations, Linear Algebra, and Applications; Joint Mathematics Meetings, San Diego, California, January 9-12, 2013.

Toward a robust and efficient hp-adaptive method for elliptic eigenvalue problems. Banff (BIRS) Workshop "Eigenvalues/singular values and fast PDE algorithms: acceleration, conditioning, and stability". Banff, Alberta, Canada, June 24-29, 2012.

Toward a robust and efficient hp-adaptive method for elliptic eigenvalue problems. 8^{th} International Conference on Scientific Computing and Applications. Las Vegas, Nevada, April 1-4, 2012.

A General Approach for Error Estimation and Adaptivity for Elliptic Eigenvalue Problems. Wayne State University, Numerical Analysis Seminar. Detroit, Michigan, February 1, 2012.

Flexible Finite Element Error Estimation Using Auxiliary-Subspaces. Wayne State University, Department Colloquium. Detroit, Michigan, January 30, 2011.

A Framework for Constructing and Analyzing Hierarchical-Type Error Estimators. 11th US National Congress on Computational Mechanics. Minneapolis, Minnesota, July 24-29, 2011.

Constructing and Analyzing Error Estimators of Hierarchical Type. Christian-Albrechts Universitaet zu Kiel. Kiel, Germany, June 17, 2011.

Constructing and Analyzing Error Estimators of Hierarchical Type. Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB). Berlin, Germany, June 10, 2011.

Constructing and Analyzing Non-Standard Error Estimators of Hierarchical-Type. Oberwolfach workshop "Schnelle Löser für partielle Differentialgleichungen". Oberwolfach, Germany, May 22-28, 2011.

A Framework for Robust Error Estimation and Acceleration of Convergence for Elliptic Eigenvalue Problems. AMS Southwest Sectional Meeting. Las Vegas, Nevada, April 30-May 1, 2011.

Constructing and Analyzing Non-Standard Error Estimators of Hierarchical-Type. AMS Southwest Sectional Meeting. Las Vegas, Nevada, April 30-May 1, 2011.

A Framework for Analyzing and Constructing Hierarchical-Type A Posteriori Error Estimators. Carnegie Mellon University, March 26, 2011.

Exploiting the natural block-structure of hierarchically-decomposed variational discretizations of elliptic boundary value problems. SIAM Conference on Computational Science and Engineering. Reno, Nevada, Feb. 28 - Mar 4, 2011.

A Framework for Robust Eigenvalue and Eigenvector Error Estimation and Ritz Value Convergence Enhancement. Analysis Seminar, University of Delaware, October 21, 2010.

A Robust and Flexible A Posteriori Error Estimate in R^3. Oberseminar Numerik und Wissenschaftliches Rechnen, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany, July 29, 2010.

Exploiting the natural block-structure of hierarchically-decomposed variational discretizations of elliptic boundary value problems. 26th International Workshop on Operator Theory and its Applications, Berlin, July 12-16, 2010.

A Robust and Flexible A Posteriori Error Estimate for R^3. AMS Sectional Meeting, Lexington, Kentucky, March 27-28, 2010.

Reliable Error Estimation and Acceleration of Convergence for Elliptic Eigenvalue Problems.  (REB 60) Workshop on Adaptive and Multilevel Methods for Partial Differential Equations. University of California, San Diego, November 13-14, 2009.

A Robust Error Estimator for Elliptic Eigenvalue Problems. The Mathematics of Finite Elements and Applications (MAFELAP), Brunel Institute of Computational Mathematics, London, May 2009.

A High-Order Boundary Integral Method for Neumann Boundary Value Problems on Lipschitz Domains. Computational and Applied Mathematics Colloquium, University of California, San Diego, December 2008.

A Hierarchical Basis Error Estimate Requiring only H1-regularity of the Exact Solution. SIAM Annual Meeting, San Diego, July 2008.

Efficient and Reliable Error Estimation for Elliptic Eigenvalue Problems. AMS Sectional Meeting, Bloomington, Indiana, April 2008.

Two Improvements of a Parallel Adaptive Algorithm. Purdue University Colloquium, West Lafayette, Indiana, April 2008.

Efficient and Reliable Error Estimation for Elliptic Eigenvalue Problems. Computational and Applied Mathematics Colloquium, University of California, San Diego, December 2007.

On Estimators for Eigenvalue/Eigenvector Approximations. Fifth Conference on Applied Mathematics and Scientific Computing (ApplMath07), Brijuni Island, Croatia, July 2007.

On Estimators for Eigenvalue/Eigenvector Approximations. The 23nd GAMM Seminar, MPI Leipzig, Germany, January 2007.

Improving a Parallel Adaptive Meshing Algorithm Using Dual-Weighted Error Estimates. Institut für Reine und Angewandte Mathematik, RWTH, Aachen, Germany, November 2006.

Hierarchical Matrix Techniques for a Domain Decomposition Algorithm. International Conference of Numerical Analysis and Applied Matematics, Crete, Greece, September 2006.

Cheap and Reliable Functional Error Estimation and Goal-Oriented Adaptivity. Quasi-continuum Method Group Seminar, University of Minnesota, Minneapolis, February 2006.

Function, Gradient and Hessian Recovery Using Quadratic Edge-Bump Functions. University of California, Computational and Applied Mathematics Seminar. San Diego, California, February 2006.

Function, Gradient and Hessian Recovery Using Quadratic Edge-Bump Functions. The 22nd GAMM Seminar, MPI Leipzig, Germany,  January 2006.

Asymptotically Exact Functional Error Estimators Based on Superconvergent Gradient Recovery. International Workshop on Reliable Methods of Mathematical Modelling, Zurich, July 2005.

Asymptotically Exact Functional Error Estimators on Meshes with Superconvergence. Oberwolfach Workshop: Schnelle Löser für partielle Differentialgleichungen, Oberwolfach, Germany, May 2005.

Dual Functions for Parallel Adaptive Algorithms. The 21st GAMM Seminar, MPI Leipzig ,Germany, January 2005.

An algorithm for exploring eigenvector localization.  Applied and Computational Mathematics  Seminar (virtual), Portland State University, Portland, Oregon, October 4, 2021.

Auxiliary subspace techniques for a posteriori error analysis in finite element methods.  Applied and Computational Mathematics Seminar, Portland State University, Portland, Oregon, April 20, 2020.

A posteriori error estimation for eigenvalue/vector clusters.  7th Cascade RAIN Meeting.  Oregon State University (virtual), Corvalis, Oregon, April 4, 2020.

A posteriori error estimation for eigenvalue/vector clusters.  Applied and Computational Mathematics Seminar, Portland State University, Portland, Oregon, October 9, 2019.

Trefftz Finite Elements on Meshes of Curvilinear Polygons. 6th Cascade RAIN Meeting. University of Washington at Bothell, Bothell, Washington, April 13, 2019.

Interpolation in Poisson finite element spaces.  Applied and Computational Mathematics Seminar, Portland State University, Portland, Oregon, February 18, 2019.

A Finite Element Method on Exotic Meshes.  Applied and Computational Mathematics Seminar, Portland State University, Portland, Oregon, October 1, 2018.

Finite Elements on Funky Meshes. 5th Cascade RAIN Meeting. Portland State University, Portland, Oregon, April 7, 2018.

A Trefftz-Nyström finite element method on (curvilinear) polygonal meshes. Applied and Computational Mathematics Seminar, Portland State University, Portland, Oregon, February 26, 2018.

Filtered Subspace Iteration for Eigenvalue/vector Approximation. Applied and Computational Mathematics Seminar, Portland State University, Portland, Oregon, May 8, 2017.

Efficient evaluation of the Dirichlet Laplace solution and its derivatives. 4th Cascade RAIN Meeting. Simon Fraser University, Vancouver, British Columbia, April 8, 2017.

Filtered Subspace Iteration for Selfadjoint Operators. Applied and Computational Mathematics Seminar, Portland State University, Portland, Oregon, October 9, 2017.

Some remarks on interpolation and best approximation. 3rd Cascade RAIN Meeting. Washington State University, Vancouver, Washington, April 9, 2016.

Efficient evaluation of the Dirichlet Laplace problem and its derivatives. Applied and Computational Mathematics Seminar, Portland State University, Portland, Oregon, October 3, 2016.

Nyström methods for some problems in potential theory. Applied and Computational Mathematics Seminar, Portland State University, Portland, Oregon, April 27, 2015.

A posteriori error estimation for \(H^1\) approximations of non-self-adjoint eigenvalue problems. 2nd Cascade RAIN Meeting. Portland State University, Portland, Oregon, April 4, 2015.

Some Remarks on Interpolation and Best-Approximation. Applied and Computational Mathematics Seminar, Portland State University, Portland, Oregon, October 26, 2015.

A framework for robust estimation of error in eigenvalue computations for non-self-adjoint operators. Applied and Computational Mathematics Seminar, Portland State University, Portland, Oregon, December 1, 2014.

Finite element error estimation for boundary value and eigenvalue problems associated with a Schrödinger operator. Applied and Computational Mathematics Seminar, Portland State University, Portland, Oregon, May 5, 2014.

Robust estimates for (hp-adaptive) approximations of non-self-adjoint eigenvalue problems. 1st CASCADE Conference. Oregon State University, Corvalis, Oregon, April 5, 2014.

A Framework for Analyzing and Constructing Hierarchical-Type A Posteriori Error Estimates. Finite Element Circus (IMA). Minneapolis, Minnesota, November 5-6, 2010.

A Framework for Error Estimation and Acceleration of Convergence for Elliptic Eigenvalue Problems. Finite Element Circus, Providence, Rhode Island, April 30-May 1, 2010.

Efficient and Reliable Finite Element Approximations for Elliptic Eigenvalue Problems. Graduate Colloquium, University of Kentucky, Lexington, Kentucky, February 3, 2010.

A Robust and Flexible A Posteriori Error Estimate in R^3. Finite Element Circus. Knoxville, Tennessee, October 16-17, 2009.

A High-Order Integral Algorithm for Highly Singular PDE Solutions in Lipschitz Domains. Applied and Computation Mathematics Colloquium, University of Kentucky, Lexington, Kentucky, October 8, 2009.

Duality Techniques for Parallel Adaptive Finite Element Algorithms. Southern California Applied Mathematics Symposium, April 2004.

A Peek at Applied and Computational Mathematics.  Cleveland High School Advanced Climate Justice Course (virtual), Chelsea Muhs (teacher), Portland, Oregon, March 10 and 11, 2021.

An Introduction to Numerical Mathematics.  Sunset High School Calculus Challenge Program, Hollee McNamee (teacher), Portland, Oregon, November 20, 2018.

The Mathematics of Approximation. Sunset High School Calculus Challenge Program, Hollee McNamee (teacher), Portland, Oregon, December 7, 2017.

The Mathematics of Approximation. Sunset High School Calculus Challenge Program,  Hollee McNamee (teacher), Portland, Oregon, December 14, 2016.