Nonconforming spectral element approximation for parabolic PDE with corner singularity (Q6553600)

scientific article; zbMATH DE number 7863382

Language	Label	Description	Also known as
English	Nonconforming spectral element approximation for parabolic PDE with corner singularity	scientific article; zbMATH DE number 7863382

Statements

instance of

scholarly article

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title

Nonconforming spectral element approximation for parabolic PDE with corner singularity (English)

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author

Sanuwar Ahmed Choudhury

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11 June 2024

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zbMATH Keywords

nonconforming

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least squares

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spectral element method

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parabolic

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singularity

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PCGM

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The Mathematical Theory of Finite Element Methods

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Galerkin Finite Element Methods for Parabolic Problems

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Spectral Methods

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Spectral Methods

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Spectral/hp Element Methods for Computational Fluid Dynamics

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Q5189317

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Q4023365

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Q4220650

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A Method of Treating Boundary Singularities in Time-Dependent Problems

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Q4520724

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The treatment of singularities of partial differential equations by relaxation methods

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Q4865314

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Nitsche type mortaring for some elliptic problem with corner singularities

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A finite element method using singular functions for the Poisson equation: Corner singularities

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Solution methods for the Poisson equation with corner singularities: Numerical results

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A finite element method using singular functions for Poisson equations: Mixed boundary conditions

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Energy-Corrected Finite Element Methods for Corner Singularities

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A finite element method for computing accurate solutions for Poisson equations with corner singularities using the stress intensity factor

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A highly-accurate finite element method with exponentially compressed meshes for the solution of the Dirichlet problem of the generalized Helmholtz equation with corner singularities

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Solving Laplace Problems with Corner Singularities via Rational Functions

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Spectral element methods for elliptic problems in nonsmooth domains

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Stability estimates for h-p spectral element methods for general elliptic problems on curvilinear domains

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Nonconforming $h$-$p$ spectral element methods for elliptic problems

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$h$-$p$ spectral element methods for three dimensional elliptic problems on non-smooth domains

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Parabolic finite element equations in nonconvex polygonal domains

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Nitsche mortaring for parabolic initial-boundary value problems

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Reliable numerical schemes for a linear diffusion equation on a nonsmooth domain

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The Fourier finite element method for the corner singularity expansion of the heat equation

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Q4631435

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Energy-corrected FEM and explicit time-stepping for parabolic problems

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Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method

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Space-time $hp$-approximation of parabolic equations

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Stability estimates for h-p spectral element methods for elliptic problems

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Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. Part I. Boundary Value Problems for Linear Elliptic Equation of Second Order

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The $h{\text{ - }}p$ Version of the Finite Element Method for Domains with Curved Boundaries

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Spectral methods for hyperbolic initial boundary value problems on parallel computers

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Preconditioners for spectral element methods for elliptic and parabolic problems

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Least squares $h$-$p$ spectral element method for elliptic eigenvalue problems

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Exponentially accurate nonconforming least-squares spectral element method for elliptic problems on unbounded domain

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Exponentially accurate spectral element method for fourth order elliptic problems

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Spectral element method for three dimensional elliptic problems with smooth interfaces

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Space-Time Coupled Least-Squares Spectral Element Methods for Parabolic Problems*

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Fully discrete least-squares spectral element method for parabolic interface problems

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Spectral element method for parabolic initial value problem with non-smooth data: analysis and application

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Spectral element method for parabolic interface problems

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On corner singularities of solutions to mixed boundary-value problems for second-order elliptic and parabolic equations

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Regularity of solutions of initial-boundary value problems for parabolic equations in domains with conical points

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A weighted Sobolev regularity theory of the parabolic equations with measurable coefficients on conic domains in $\mathbb{R}^d$

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Besov regularity of inhomogeneous parabolic PDEs

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Q5611257

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Transfinite element methods: Blending-function interpolation over arbitrary curved element domains

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Least-squares finite element methods

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On the smoothing property of the crank-nicolson scheme

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published in

Computers & Mathematics with Applications

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Identifiers

DOI

10.1016/j.camwa.2024.04.029

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6553600