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09/12/2023
Learning topological operations on meshes with application to block decomposition of polygons
We present a learning based framework for mesh quality improvement on un...
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07/15/2023
Local Element Operations for Curved Simplex Meshes
Mesh optimization procedures are generally a combination of node smoothi...
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06/10/2023
A Face-Upwinded Spectral Element Method
We present a new high-order accurate discretisation on unstructured mesh...
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10/18/2022
Bidiagonal Decompositions of Vandermonde-Type Matrices of Arbitrary Rank
We present a method to derive new explicit expressions for bidiagonal de...
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04/27/2021
High-order accurate finite difference discretisations on fully unstructured dual quadrilateral meshes
We present a novel approach for high-order accurate numerical differenti...
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01/22/2021
Implicit shock tracking for unsteady flows by the method of lines
A recently developed high-order implicit shock tracking (HOIST) framewor...
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12/15/2020
Agglomeration-Based Geometric Multigrid Solvers for Compact Discontinuous Galerkin Discretizations on Unstructured Meshes
We present a geometric multigrid solver for the Compact Discontinuous Ga...
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12/24/2019
Implicit shock tracking using an optimization-based, r-adaptive, high-order discontinuous Galerkin method
A novel framework for resolving discontinuous solutions of conservation ...
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11/04/2019
A Discontinuous Galerkin method for Shock Capturing using a mixed high-order and sub-grid low-order approximation space
This article considers a new discretization scheme for conservation laws...
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09/03/2019
