Researchers

His work has been focused on the analysis of numerical methods (semi-analytical and FEM-based methods), including applications to geophysics, acoustics, and electromagnetism. Right now he is particularly interested in Discontinuous Petrov-Galerkin (DPG) methods and the development of residual minimization algorithms for variational problems in Banach spaces. The working network of Professor Muga includes world-class research centers such as the Institute for Computational Engineering and Sciences (ICES) - USA, the Basque Center for Applied Mathematics (BCAM) - Spain, and the University of Nottingham - UK.

Her interests are developing accurate, stable, and efficient numerical methods for solving real-world problems based on theoretical foundations. In particular, she is interested in developing space-time methods to exploit adaptive space-time mesh-refinement techniques. Among these methods, she has worked in space-time Tent-pitching techniques, space-time Petrov-Galerkin methods, and space-time discontinuous Petrov-Galerkin methods for the Schrodinger and wave equations. She has experience developing and contributing to finite element and finite volume software libraries in different programming languages: C++, Fortran, Python, and Matlab. Her collaboration network includes researchers at Lawrence Livermore National Lab, Portland State University, US. Geological Survey, and the Basque Center for Applied Mathematics.

His research interest lies in the intersection of applied mathematics, scientific computing, and machine learning. The motivations for my research are surrogate model construction in Uncertainty Quantification (UQ), data-driven learning problems, medical imaging, approximation theory, and compressed sensing.