A nested-domain volume-surface integral equation for the Helmholtz equation with heterogeneous density is derived and verified against BEM and FEM-BEM benchmarks.
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Verification and validation in computational fluid dynamics.Progress in Aerospace Sciences, 38(3): 209–272, 2002
2 Pith papers cite this work, alongside 1,091 external citations. Polarity classification is still indexing.
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2026 2representative citing papers
Numerical tests indicate that a stochastic Galerkin discretization with embedded slabwise space-time finite elements and GMRES-GMG solvers outperforms Monte-Carlo sampling for random parabolic problems in convergence and algebraic solver statistics.
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Nested Volume-Surface Integral Equations for Acoustics
A nested-domain volume-surface integral equation for the Helmholtz equation with heterogeneous density is derived and verified against BEM and FEM-BEM benchmarks.
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Stochastic Galerkin and Monte-Carlo methods for parabolic problems: Numerical performance of variational matrix-free approximations
Numerical tests indicate that a stochastic Galerkin discretization with embedded slabwise space-time finite elements and GMRES-GMG solvers outperforms Monte-Carlo sampling for random parabolic problems in convergence and algebraic solver statistics.