On the combination of Rothe's method and boundary integral equations for the nonstationary Stokes equation

DOI10.1216/jiea/996986961zbMath0995.65096OpenAlexW2027206648MaRDI QIDQ5955626

R. S. Chapko

Publication date: 9 October 2002

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/jie/VOL13-2/CONT13-2/CONT13-2.html

zbMATH Keywords

numerical experimentsfundamental solutionmethod of linesboundary integral equation methodlogarithmic singularityRothe's methodStokes equationexterior initial-boundary value problemtrigonometric quadrature method

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (6)

On the numerical solution of a boundary value problem in the plane elasticity for a double-connected domain ⋮ Rothe's method in combination with a fundamental sequences method for the nonstationary Stokes problem ⋮ An integral equation-based numerical method for the forced heat equation on complex domains ⋮ Fast integral equation methods for Rothe's method applied to the isotropic heat equation ⋮ Second kind integral equation formulation for the modified biharmonic equation and its applications ⋮ A stabilized separation of variables method for the modified biharmonic equation

Cites Work

• Boundary integral operators for the heat equation
• On an integral equation for the two-dimensional exterior Stokes problem
• Integral representations of solutions for two-dimensional viscous flow problems
• Die Lösung des Anfangs-Randwertproblems für die Wärmeleitungsgleichung im \(\mathbb{R}^3\) mit einer Integralgleichungsmethode nach dem Rotheverfahren
• On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations
• Time discretization of parabolic boundary integral equations
• Rothe's method for the heat equation and boundary integral equations
• Boundary integral methods for singularly perturbed boundary value problems
• Time stepping procedures for the non-stationary Stokes equations
• Boundary Integral and Singularity Methods for Linearized Viscous Flow
• Boundary integral solution of the two-dimensional heat equation
• Inverse scattering from an open arc
• Trigonometric Collocation Methods with Product Integration for Boundary Integral Equations on Closed Curves
• Linear integral equations
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