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cs.CE2024★ 2 cited
A globalized and preconditioned Newton-CG solver for metric-aware curved high-order mesh optimization
Guillermo Aparicio-Estrems, Abel Gargallo-Peiró, Xevi Roca
We present a specific-purpose globalized and preconditioned Newton-CG solver to minimize a metric-aware curved high-order mesh distortion. The solver is specially devised to optimi…
cs.CE2024★ 5 cited
Defining metric-aware size-shape measures to validate and optimize curved high-order meshes
Guillermo Aparicio-Estrems, Abel Gargallo-Peiró, Xevi Roca
We define a regularized size-shape distortion (quality) measure for curved high-order elements on a Riemannian space. To this end, we measure the deviation of a given element, stra…