Analytic Regularity for a Singularly Perturbed Problem
From MaRDI portal
Publication:4255776
DOI10.1137/S0036141097317542zbMath1023.35009MaRDI QIDQ4255776
Christoph Schwab, Jens Markus Melenk
Publication date: 27 June 1999
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (16)
THE HP-VERSION OF THE STREAMLINE DIFFUSION FINITE ELEMENT METHOD IN TWO SPACE DIMENSIONS ⋮ Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems ⋮ Exponential convergence of \textit{hp} FEM for spectral fractional diffusion in polygons ⋮ Finite element approximation of reaction-diffusion problems using an exponentially graded mesh ⋮ On the summability of formal solutions for doubly singular nonlinear partial differential equations ⋮ Deep ReLU networks and high-order finite element methods ⋮ Convergence analysis of the LDG method applied to singularly perturbed problems ⋮ On superconvergence of Runge-Kutta convolution quadrature for the wave equation ⋮ On singularly perturbed small step size difference-differential nonlinear PDEs ⋮ Optimal a priori error estimates for the $hp$-version of the local discontinuous Galerkin method for convection--diffusion problems ⋮ \(hp\)-discontinuous Galerkin time stepping for parabolic problems ⋮ On Gevrey asymptotics for linear singularly perturbed equations with linear fractional transforms ⋮ Tensor FEM for spectral fractional diffusion ⋮ Singularly perturbed problems in partial differential equations: A survey ⋮ Convergence analysis of an hp finite element method for singularly perturbed transmission problems in smooth domains ⋮ Uniform convergence of the LDG method for a singularly perturbed problem with the exponential boundary layer
This page was built for publication: Analytic Regularity for a Singularly Perturbed Problem