Higher-continuity s-version of finite element method with B-Spline functions

Basic methods in fluid mechanics (76Mxx) Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

Cites Work

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An adaptive multilevel multigrid formulation for Cartesian hierarchical grid methods
Multiscale finite element method for a locally nonperiodic heterogeneous medium
Immersed finite element method
Extended immersed boundary method using FEM and RKPM
A stabilized Nitsche overlapping mesh method for the Stokes problem
A low-distortion mesh moving method based on fiber-reinforced hyperelasticity and optimized zero-stress state
Parallel computation of three-dimensional flows using overlapping grids with adaptive mesh refinement
An interface capturing method for free-surface hydrodynamic flows
An arbitrary Lagrangian-Eulerian formulation for the numerical simulation of flow patterns generated by the hydromedusa Aequorea Victoria
On adaptive multilevel superposition of finite element meshes for linear elastostatics
Space-time VMS computational flow analysis with isogeometric discretization and a general-purpose NURBS mesh generation method
Three-scale finite element analysis of heterogeneous media by asymptotic homogenization and mesh superposition methods
An adaptive version of the immersed boundary method
Superposition-based coupling of peridynamics and finite element method
A linear-elasticity-based mesh moving method with no cycle-to-cycle accumulated distortion
Dynamic crack propagation analysis based on the s-version of the finite element method
Adaptive \(s\)-method for linear elastostatics
Flow patterns around heart valves: A numerical method
Strategy for accurately and efficiently modelling an internal traction-free boundary based on the s-version finite element method: problem clarification and solutions verification
The extended finite element method for rigid particles in Stokes flow
Immersed boundary model of aortic heart valve dynamics with physiological driving and loading conditions
Adaptive delamination analysis
High-order gaussian quadrature in X-FEM with the lagrange-multiplier for fluid-structure coupling
A moving superimposed finite element method for structural topology optimization
A free-surface capturing method for two fluid flows with moving bodies
Enhancement of fixed‐grid methods towards complex fluid–structure interaction applications
Adaptive superposition of finite element meshes in non-linear transient solid mechanics problems
Crack growth analysis using mesh superposition technique and X-FEM
The rs‐method for material failure simulations
Stabilized Finite Element Formulations for Incompressible Flow Computations
The s-version of the finite element method
Adaptive and hierarchical modelling of fatigue crack propagation
Finite cover method for linear and non-linear analyses of heterogeneous solids
Combined extended and superimposed finite element method for cracks
Computing the Extremal Positive Definite Solutions of a Matrix Equation
Adaptive superposition of finite element meshes in elastodynamic problems
An Eulerian approach to fluid–structure interaction and goal‐oriented mesh adaptation
ELAFINT: A MIXED EULERIAN-LAGRANGIAN METHOD FOR FLUID FLOWS WITH COMPLEX AND MOVING BOUNDARIES
Methods of conjugate gradients for solving linear systems
An arbitrary Lagrangian-Eulerian computing method for all flow speeds
Level set methods: An overview and some recent results
Mesh superposition‐based multiscale stress analysis of composites using homogenization theory and re‐localization technique considering fiber location variation