Linearly convergent nonoverlapping domain decomposition methods for quasilinear parabolic equations
DOI10.1007/S10543-024-01038-5MaRDI QIDQ6623106
Publication date: 23 October 2024
Published in: BIT (Search for Journal in Brave)
quasilinear parabolic equationslinear convergencespace-time finite elementsnonoverlapping domain decompositionstime-dependent Steklov-Poincaré operators
Initial-boundary value problems for second-order parabolic equations (35K20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Numerical solutions to abstract evolution equations (65J08)
Cites Work
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- Dirichlet-Neumann and Neumann-Neumann waveform relaxation algorithms for parabolic problems
- Boundary integral operators for the heat equation
- An introduction to Sobolev spaces and interpolation spaces
- Space-time domain decomposition for parabolic problems
- Schwarz waveform relaxation algorithms for semilinear reaction-diffusion equations
- Coercive space-time finite element methods for initial boundary value problems
- Space-time domain decomposition for two-phase flow between different rock types
- An exact realization of a modified Hilbert transformation for space-time methods for parabolic evolution equations
- Toward an optimized global-in-time Schwarz algorithm for diffusion equations with discontinuous and spatially variable coefficients. I: The constant coefficients case
- Toward an optimized global-in-time Schwarz algorithm for diffusion equations with discontinuous and spatially variable coefficients. II: The variable coefficients case
- Dirichlet-Neumann waveform relaxation methods for parabolic and hyperbolic problems in multiple subdomains
- Space-time domain decomposition for reduced fracture models in mixed formulation
- 50 Years of Time Parallel Time Integration
- Analysis in Banach Spaces
- 7. Space-time finite element methods for parabolic evolution equations: discretization, a posteriori error estimation, adaptivity and solution
- Convergence Analysis of the Nonoverlapping Robin--Robin Method for Nonlinear Elliptic Equations
- Initial-Boundary Value Problems for Parabolic Equations
- Splitting Algorithms for the Sum of Two Nonlinear Operators
- Optimized Schwarz Waveform Relaxation and Discontinuous Galerkin Time Stepping for Heterogeneous Problems
- Efficient Direct Space-Time Finite Element Solvers for Parabolic Initial-Boundary Value Problems in Anisotropic Sobolev Spaces
- Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems
- Space-Time Domain Decomposition Methods for Diffusion Problems in Mixed Formulations
- Optimized Schwarz Methods
- Non-Overlapping Schwarz Waveform-Relaxation for Nonlinear Advection-Diffusion Equations
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