Updated list in Workflowy
- High-contrast multiscale problems
- Domain decomposition and multiscale methods
- Darcy equation
- Richard's equation
- Coarse spaces constructions
- Ensemble-level preconditioning
- Abstract elliptic problems with important physical parameter
- Generalized Multiscale Finite Element Methods (GMsFEM)
- Ensemble-level preconditioning
- Asymptotic expansions
- Multilevel methods
- Parametric and nonlinear mulsticale problems
- Finite volume discretizations
- Numerical approximation of random elliptic equations
- Elliptic equations with lognormal distributions
- Stochastic regularity (lognormal coefficients)
- Infinity dimensional problems
- White Noise Analysis and error estimates
- Preconditioners
- Ensemble-level preconditioning
- Heterogeneous models and interface problems
- Coupling fluid flow with porous media flow
- Preconditioning of heterogeneous coupling
- Numerical upscaling of problems with interfaces
- Nonlinear boundary and jump conditions on interfaces
- Discontinuous Galerkin (DG) discretization
- Robust solvers for DG of heterogeneous elliptic equations
- Robust solvers for DG/FEM composite discretization of Nitsche's type
- Multilevel methods NonConf and DG
- Generalized Multsicale Finite Element Methods within DG framework
- General composite discretizations: solvers and numerical upscaling
- Conservation laws
- Modeling using conservation laws
- Numerical methods for waves and Tsunami waves
- Numerical methods for conservation laws
- Riemann Problems
- Some others
- Coarse spaces for nonlinear problems
- Non-symmetric preconditioners (RAS)
- Eigenvalue problems and orthogonal decompositions: domain decomposition, multilevel methods and numerical upscaling
- BT
- DEIM
- Reduced Basis
- POD
- PGD
- SVD
- DMD
- Robust control
- Wave propagation
- Advection-diffusion (Numerics, Asymptotic expansions, Time stepping)
- Diffusion on fractals
- Elasticity
- ....
