Weak imposition of Dirichlet boundary conditions for analyses using Powell-Sabin B-splines

Numerical computation using splines (65D07) Finite element methods applied to problems in solid mechanics (74S05) Fracture and damage (74R99) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

From NURBS to NURPS geometries
A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
Isogeometric analysis with Powell-Sabin splines for advection-diffusion-reaction problems
Numerical solution of partial differential equations with Powell-Sabin splines
Three-dimensional Green's function for an anisotropic multi-layered half-space
When and how do cracks propagate?
On calculating normalized Powell-Sabin B-splines
Revisiting brittle fracture as an energy minimization problem
Phase-field modelling of cohesive fracture
Adaptive refinement of hierarchical T-splines
A stabilized Powell-Sabin finite-element method for the 2D Euler equations in supersonic regime
Weak impositions of Dirichlet boundary conditions in solid mechanics: a critique of current approaches and extension to partially prescribed boundaries
The use of Powell-Sabin B-splines in a higher-order phase-field model for crack kinking
Powell-Sabin B-splines for smeared and discrete approaches to fracture in quasi-brittle materials
Powell-Sabin splines with boundary conditions for polygonal and non-polygonal domains
Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
Hybrid collocation-Galerkin approach for the analysis of surface represented 3D-solids employing SB-FEM
Crack kinking in a variational phase-field model of brittle fracture with strongly anisotropic surface energy
A symmetric method for weakly imposing Dirichlet boundary conditions in embedded finite element meshes
Phase-field modeling and simulation of fracture in brittle materials with strongly anisotropic surface energy
Weak imposition of essential boundary conditions in the finite element approximation of elliptic problems with non-matching meshes
Powell-Sabin B-splines and unstructured standard T-splines for the solution of the Kirchhoff-Love plate theory exploiting Bézier extraction
An embedded Dirichlet formulation for 3D continua
Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
An optimal algorithm for finding minimal enclosing triangles
The Finite Element Method with Penalty
Piecewise Quadratic Approximations on Triangles
A locking-free model for Reissner–Mindlin plates: Analysis and isogeometric implementation via NURBS and triangular NURPS
Energy conservation during remeshing in the analysis of dynamic fracture
Adaptive isogeometric analysis for phase-field modeling of anisotropic brittle fracture
Linear and nonlinear solvers for variational phase-field models of brittle fracture
The role of Bézier extraction in adaptive isogeometric analysis: local refinement and hierarchical refinement

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