A preprocessing Galerkin discretization of the volume operator is used to construct a computable approximation to the boundary integral operator for strongly elliptic problems with variable coefficients.
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2026 2verdicts
UNVERDICTED 2representative citing papers
Nonconforming finite element discretizations yield guaranteed inf-sup lower bounds and a posteriori certificates of unique regular solutions for semilinear elliptic problems via a Newton-Kantorovich argument, with convergence rates proved and application to 2D stationary Navier-Stokes.
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BEM for variable coefficient second-order problems
A preprocessing Galerkin discretization of the volume operator is used to construct a computable approximation to the boundary integral operator for strongly elliptic problems with variable coefficients.
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Guaranteed inf-sup bounds and existence verification for semilinear elliptic problems via nonconforming finite elements
Nonconforming finite element discretizations yield guaranteed inf-sup lower bounds and a posteriori certificates of unique regular solutions for semilinear elliptic problems via a Newton-Kantorovich argument, with convergence rates proved and application to 2D stationary Navier-Stokes.