Develops explicit IFE functions and an IDG method for elliptic interface problems that achieve optimal H1 and L2 convergence with interface-cut-independent constants and robust matrix conditioning.
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.NA 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A high-order selective DG method with a new hybrid IFE space is introduced for elliptic interface problems on unfitted meshes, with proofs of optimal approximation, well-posedness, and a priori error estimates in energy and L2 norms.
citing papers explorer
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The Immersed Discontinuous Galerkin Method for Elliptic Interface Problems
Develops explicit IFE functions and an IDG method for elliptic interface problems that achieve optimal H1 and L2 convergence with interface-cut-independent constants and robust matrix conditioning.
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A Priori Error Analysis of a High-Order Selective Discontinuous Galerkin Method for Elliptic Interface Problems
A high-order selective DG method with a new hybrid IFE space is introduced for elliptic interface problems on unfitted meshes, with proofs of optimal approximation, well-posedness, and a priori error estimates in energy and L2 norms.