9 citations · 16 across the 3 of their papers we have counts for
3 papers
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…
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…
Combining high-order metric interpolation and geometry implicitization for curved -adaption
Guillermo Aparicio-Estrems, Abel Gargallo-Peiró, Xevi Roca
We detail how to use Newton's method for distortion-based curved -adaption to a discrete high-order metric field while matching a target geometry. Specifically, we combine two t…