Discontinuous Galerkin least-squares finite element methods for singularly perturbed reaction-diffusion problems with discontinuous coefficients and boundary singularities
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Publication:1014238
DOI10.1007/s00211-008-0208-0zbMath1163.65087OpenAlexW2059861147MaRDI QIDQ1014238
Publication date: 27 April 2009
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-008-0208-0
singular perturbationerror estimatesnumerical examplesdiscontinuous coefficientsreaction-diffusion problemsboundary singularitiessecond-order elliptic equationsdiscontinuous Galerkin least-squares finite element method
Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with low regular coefficients and/or low regular data (35R05)
Related Items (11)
A discontinuous least-squares finite-element method for second-order elliptic equations ⋮ A discontinuous Galerkin least-squares finite element method for solving coupled singularly perturbed reaction-diffusion equations ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ A Least-Squares-Based Weak Galerkin Finite Element Method for Second Order Elliptic Equations ⋮ Finite element analysis of singularly perturbed problems with discontinuous diffusion ⋮ NIPG Method on Shishkin Mesh for Singularly Perturbed Convection–Diffusion Problem with Discontinuous Source Term ⋮ NIPG Finite Element Method for Convection-Dominated Diffusion Problems with Discontinuous Data ⋮ A uniformly convergent weak Galerkin finite element method on Shishkin mesh for 1d convection-diffusion problem ⋮ Saddle point least squares for the reaction-diffusion problem ⋮ Non-symmetric interior penalty Galerkin finite element method for a class of singularly perturbed reaction diffusion problems with discontinuous data ⋮ A Robust Modified Weak Galerkin Finite Element Method for Reaction-Diffusion Equations
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