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math.NA2026
Conservative Finite Element Methods for Kirchhoff-Type Equations
Benjamin Dörich, Felix Krumbiegel, Jemal Rogava +2
We construct and analyse a fully discrete scheme for a Kirchhoff-type nonlinear integro-differential equation in two spatial dimensions with time-dependent coefficients. The scheme…
math.NA2026
Conservative Three-Layer Schemes for Kirchhoff-Type Equations
Felix Krumbiegel, Jemal Rogava, Andreas Rupp +1
We study a Kirchhoff-type nonlinear integro-differential equation in two spatial dimensions whose coefficients are allowed to depend on time, and we construct conservative discreti…
math.NA2026
Enriched higher-order multiscale approaches with applications to wave propagation
Balaje Kalyanaraman, Felix Krumbiegel, Roland Maier +1
We consider the numerical solution of partial differential equations with coefficients that are strongly heterogeneous in space. We provide an overview of higher-order localized or…