Partially penalized immersed finite element methods for parabolic interface problems
Copyright policy )Partially penalized immersed finite element methods for parabolic interface problems
We present partially penalized immersed finite element methods for solving parabolic interface problems on Cartesian meshes. Typical semidiscrete and fully discrete schemes are discussed. Error estimates in an energy norm are derived. Numerical examples are provided to support theoretical analysis. © 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 31: 1925–1947, 2015
- Purdue University System United States
- Virginia Tech United States
- TRUSTEES OF PURDUE UNIVERSITY United States
- Purdue University West Lafayette United States
- Shandong Normal University China (People's Republic of)
Method of lines for initial value and initial-boundary value problems involving PDEs, backward Euler method, Dirichlet boundary condition, convergence, error estimate, Numerical Analysis (math.NA), numerical example, Error bounds for initial value and initial-boundary value problems involving PDEs, immersed finite element method, Cartesian mesh methods, Crank-Nicolson method, Initial-boundary value problems for second-order parabolic equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, semi-discrete method, Mathematics - Numerical Analysis, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, parabolic diffusion equation
Method of lines for initial value and initial-boundary value problems involving PDEs, backward Euler method, Dirichlet boundary condition, convergence, error estimate, Numerical Analysis (math.NA), numerical example, Error bounds for initial value and initial-boundary value problems involving PDEs, immersed finite element method, Cartesian mesh methods, Crank-Nicolson method, Initial-boundary value problems for second-order parabolic equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, semi-discrete method, Mathematics - Numerical Analysis, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, parabolic diffusion equation
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