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GACR Project 2020-22
Work packages
- WP1: Time-independent problems: analysis and error estimates
- Task 1.1: Analysis of nonlinear elliptic problems
- Task 1.2: Goal-oriented error estimates including algebraic errors
- Task 1.3: Goal-oriented error estimates including mesh anisotropy
- Task 1.4: Error estimation for convection-diffusion problems
- WP2: Time-dependent problems: analysis and error estimates
- Task 2.1: Nonlinear parabolic problems with singular solutions
- Task 2.2: Nonlinear reaction-diffusion problems
- Task 2.3: Coupled nonlinear hyperbolic conservation laws
- Task 2.4: Nonlinear convection-diffusion-reaction problems
- Task 2.5: Analysis of degenerate parabolic problems
- Task 2.6: Error estimates for degenerate parabolic problems
- WP3: Eigenvalue problems: analysis and error estimates
- Task 3.1: Guaranteed error bounds for eigenfunctions
- Task 3.2: Lower bounds on eigenvalues by DGM
- Task 3.3: Adaptivity for eigenvalue problems
- WP4: Solution strategies
- Task 4.1: Anisotropic mesh adaptation
- Task 4.2: Algebraic solvers for anisotropic meshes
- Task 4.3: Algebraic error estimation
- Task 4.4: Numerical behaviour of (inexact) iterative methods
- Task 4.5: Domain decomposition methods for adaptively refined meshes
- Task 4.6: Synergy and assessment of the results