Rothe's method in combination with a fundamental sequences method for the nonstationary Stokes problem

Finite difference methods applied to problems in fluid mechanics (76M20) Stokes and related (Oseen, etc.) flows (76D07) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Cites Work

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On choosing the location of the sources in the MFS
On the choice of source points in the method of fundamental solutions
A Crank-Nicolson finite spectral element method for the 2D non-stationary Stokes equations about vorticity-stream functions
Ensuring well-posedness by analogy; Stokes problem and boundary control for the wave equation
The method of fundamental solutions for elliptic boundary value problems
A boundary integral equation method for numerical solution of parabolic and hyperbolic Cauchy problems
A posteriori error analysis of space-time finite element discretizations of the time-dependent Stokes equations
A method of fundamental solutions for heat and wave propagation from lateral Cauchy data
An inverse elastodynamic data reconstruction problem
A method of fundamental solutions with time-discretisation for wave motion from lateral Cauchy data
Numerical methods with particular solutions for nonhomogeneous Stokes and Brinkman systems
Stokes and Navier-Stokes equations with nonhomogeneous boundary conditions
A survey of applications of the MFS to inverse problems
Finite Difference Methods for the Stokes and Navier–Stokes Equations
Fundamental Solutions Method for Elliptic Boundary Value Problems
Finite Element Methods for Navier-Stokes Equations
Time stepping procedures for the non-stationary Stokes equations
The method of functional equations for the approximate solution of certain boundary value problems
On the combination of Rothe's method and boundary integral equations for the nonstationary Stokes equation

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