Hierarchically refined and coarsened splines for moving interface problems, with particular application to phase-field models of prostate tumor growth

From MaRDI portal
Publication:2309830

DOI10.1016/j.cma.2017.03.009zbMath1439.74203OpenAlexW2596612254MaRDI QIDQ2309830

K. Tew, Guillermo Lorenzo, Michael A. Scott, Héctor J. Gómez, Thomas J. R. Hughes

Publication date: 6 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2017.03.009



Related Items

Adaptive isogeometric methods with hierarchical splines: an overview, 2-D local hp adaptive isogeometric analysis based on hierarchical Fup basis functions, Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach, Efficient extraction of hierarchical B-splines for local refinement and coarsening of isogeometric analysis, Additive manufacturing applications of phase‐field‐based topology optimization using adaptive isogeometric analysis, Adaptive isogeometric methods with C1 (truncated) hierarchical splines on planar multi-patch domains, Hierarchically refined isogeometric analysis of trimmed shells, Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects, Isogeometric analysis with \(C^1\) hierarchical functions on planar two-patch geometries, Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization, Isogeometric analysis of multi-phase flows with surface tension and with application to dynamics of rising bubbles, An integrated framework of exact modeling, isogeometric analysis and optimization for variable-stiffness composite panels, Suitably graded THB-spline refinement and coarsening: towards an adaptive isogeometric analysis of additive manufacturing processes, Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth, Refinement algorithms for adaptive isogeometric methods with hierarchical splines, A hierarchical approach to the \textit{a posteriori} error estimation of isogeometric Kirchhoff plates and Kirchhoff-Love shells, A 3D isogeometric BE-FE analysis with dynamic remeshing for the simulation of a deformable particle in shear flows, Multi-level Bézier extraction for hierarchical local refinement of isogeometric analysis, A numerical simulation study of the dual role of \(5\alpha\)-reductase inhibitors on tumor growth in prostates enlarged by benign prostatic hyperplasia via stress relaxation and apoptosis upregulation, Improved conditioning of isogeometric analysis matrices for trimmed geometries, Projection and transfer operators in adaptive isogeometric analysis with hierarchical B-splines, Non-body-fitted fluid-structure interaction: divergence-conforming B-splines, fully-implicit dynamics, and variational formulation, A review on computational modelling of phase-transition problems, An unrefinement algorithm for planar THB-spline parameterizations, An asymptotic analysis and numerical simulation of a prostate tumor growth model via the generalized moving least squares approximation combined with semi-implicit time integration


Uses Software


Cites Work