### keywords

- 01 Mathematical Sciences, 09 Engineering

- 01 Mathematical Sciences, 09 Engineering

- Interface Immersed Particle Difference Method for weak discontinuity in elliptic boundary value problems 2021
- Mesh quality metrics for isogeometric Bernstein-Bezier discretizations 2020
- Ambiguous phase assignment of discretized 3D geometries in topology optimization 2020
- Acceleration of uncertainty propagation through Lagrange multipliers in partitioned stochastic method 2020
- A Nitsche-type variational formulation for the shape deformation of a single component vesicle 2020
- A strong form meshfree collocation method for frictional contact on a rigid obstacle 2019
- Multi-scale topology optimization of multi-material structures with controllable geometric complexity - Applications to heat transfer problems 2019
- A posteriori error analysis of fluid-structure interactions: Time dependent error 2019
- Three-dimensional explicit finite element formulation for shear localization with global tracking of embedded weak discontinuities 2019
- Strong form-based meshfree collocation method for wind-driven ocean circulation 2019
- Blended B-spline construction on unstructured quadrilateral and hexahedral meshes with optimal convergence rates in isogeometric analysis 2018
- An energy-based discontinuous Galerkin discretization of the elastic wave equation in second order form 2018
- Explicit higher-order accurate isogeometric collocation methods for structural dynamics 2018
- Sparse polynomial chaos expansions via compressed sensing and D-optimal design 2018
- Multi-patch discontinuous Galerkin isogeometric analysis for wave propagation: Explicit time-stepping and efficient mass matrix inversion 2018
- Least squares polynomial chaos expansion: A review of sampling strategies 2018
- A near-stationary subspace for ridge approximation 2017
- A synoptic approach to the seismic sensing of heterogeneous fractures: From geometric reconstruction to interfacial characterization 2017
- CutFEM topology optimization of 3D laminar incompressible flow problems 2017
- Isogeometric unstructured tetrahedral and mixed-element Bernstein-Bezier discretizations 2017
- A rapid and efficient isogeometric design space exploration framework with application to structural mechanics 2017
- Isogeometric divergence-conforming variational multiscale formulation of incompressible turbulent flows 2017
- A generalized multi-resolution expansion for uncertainty propagation with application to cardiovascular modeling 2017
- Immersogeometric cardiovascular fluid-structure interaction analysis with divergence-conforming B-splines 2017
- Foundations of the blended isogeometric discontinuous Galerkin (BIDG) method 2016
- Isogeometric triangular Bernstein-Bezier discretizations: Automatic mesh generation and geometrically exact finite element analysis 2016
- A synoptic approach to the seismic sensing of heterogeneous fractures 2016
- An hp-proper orthogonal decomposition-moving least squares approach for molecular dynamics simulation 2016
- A scalable, matrix-free multigrid preconditioner for finite element discretizations of heterogeneous Stokes flow 2015
- Coherence motivated sampling and convergence analysis of least squares polynomial Chaos regression 2015
- An immersogeometric variational framework for fluid-structure interaction: Application to bioprosthetic heart valves 2015
- Bezier projection: A unified approach for local projection and quadrature-free refinement and coarsening of NURBS and T-splines with particular application to isogeometric design and analysis 2015
- Isogeometric collocation: Neumann boundary conditions and contact 2015
- A coupled Eulerian-Lagrangian extended finite element formulation for simulating large deformations in hyperelastic media with moving free boundaries 2015
- Discontinuous Galerkin hp-adaptive methods for multiscale chemical reactors: Quiescent reactors 2014
- Adaptive concurrent multiscale model for fracture and crack propagation in heterogeneous media 2014
- Partitioned treatment of uncertainty in coupled domain problems: A separated representation approach 2014
- An immersed boundary method for fluids using the XFEM and the hydrodynamic Boltzmann transport equation 2014
- Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems 2014
- Isogeometric collocation: Cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations 2013
- A geometric multiscale finite element method for the dynamic analysis of heterogeneous solids 2013
- Non-intrusive low-rank separated approximation of high-dimensional stochastic models 2013
- On stability and monotonicity requirements of finite difference approximations of stochastic conservation laws with random viscosity 2013
- Isogeometric boundary element analysis using unstructured T-splines 2013
- An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces 2012
- An adaptive concurrent multiscale method for microstructured elastic solids 2012
- Generalization of the twist-Kirchhoff theory of plate elements to arbitrary quadrilaterals and assessment of convergence 2012
- Residual distribution finite element method for convection-dominated problems 2012
- Sparse pseudospectral approximation method 2012
- New rectangular plate elements based on twist-Kirchhoff theory 2011
- Implicit dynamic three-dimensional finite element analysis of an inelastic biphasic mixture at finite strain Part 1: Application to a simple geomaterial 2010
- Isogeometric analysis using T-splines 2010
- Robustness of isogeometric structural discretizations under severe mesh distortion 2010
- Augmented Lagrangian method for constraining the shape of velocity profiles at outlet boundaries for three-dimensional finite element simulations of blood flow 2009
- Enforcement of constraints and maximum principles in the variational multiscale method 2009
- n-Widths, sup-infs, and optimality ratios for the k-version of the isogeometric finite element method 2009
- A probabilistic construction of model validation 2008
- Aeroelastic design optimization for laminar and turbulent flows 2008
- Optimal synthesis of tunable elastic wave-guides 2008
- Stochastic model reduction for chaos representations 2007
- A class of parallel two-level nonlinear Schwarz preconditioned inexact Newton algorithms 2007
- On standard and vector finite element analysis of a strict anti-plane shear plasticity model with elastic curvature 2007
- Reduced-order modeling of time-dependent PDEs with multiple parameters in the boundary data 2007
- Multiresolution analysis for material design 2006
- A Schur-Newton-Krylov solver for steady-state aeroelastic analysis and design sensitivity analysis 2006
- A coupled momentum method for modeling blood flow in three-dimensional deformable arteries 2006
- A parameter-free dynamic subgrid-scale model for large-eddy simulation 2006
- Analysis of fracture in thin shells by overlapping paired elements 2006
- Efficient anisotropic adaptive discretization of the cardiovascular system 2006
- Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries 2006
- Computation of incompressible bubble dynamics with a stabilized finite element level set method 2005
- Implicit numerical integration of a three-invariant, isotropic/kinematic hardening cap plasticity model for geomaterials 2005
- On the interaction between dynamic model dissipation and numerical dissipation due to streamline upwind/Petrov-Galerkin stabilization 2005
- Reliability-based shape optimization of structures undergoing fluid-structure interaction phenomena 2005
- Multi-scale constitutive model and computational framework for the design of ultra-high strength, high toughness steels 2004
- A variational multiscale method to incorporate strain gradients in a phenomenological plasticity model 2004
- Dynamics of porous media at finite strain 2004
- Stability of the SUPG finite element method for transient advection-diffusion problems 2004
- Hierarchical basis for stabilized finite element methods for compressible flows 2003
- Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the sphere 2003
- Strain localization in frictional materials exhibiting displacement jumps 2001
- Topology and shape optimization for elastoplastic structural response 2001
- A generalized-alpha method for integrating the filtered Navier-Stokes equations with a stabilized finite element method 2000
- Adaptive CFD analysis for rotorcraft aerodynamics 2000
- Analysis and approximation for linear feedback control for tracking the velocity in Navier-Stokes flows 2000
- A stabilized finite element method for computing turbulence 1999
- Strategies for parallel and numerical scalability of CFD codes 1999
- A better consistency for low-order stabilized finite element methods 1999
- LEAST-SQUARES METHODS FOR THE VELOCITY-PRESSURE-STRESS FORMULATION OF THE STOKES EQUATIONS 1995
- ANALYSIS, APPROXIMATION, AND COMPUTATION OF A COUPLED SOLID FLUID TEMPERATURE CONTROL PROBLEM 1994
- IMPLEMENTATION OF A ONE-EQUATION TURBULENCE MODEL WITHIN A STABILIZED FINITE-ELEMENT FORMULATION OF A SYMMETRICAL ADVECTIVE-DIFFUSIVE SYSTEM 1993
- A FINITE-ELEMENT METHOD FOR DIFFUSION DOMINATED UNSTEADY VISCOUS FLOWS 1983
- A FINITE-ELEMENT METHOD FOR THE ONSAGER PANCAKE EQUATION 1982
- On inf-sup stabilized finite element methods for transient problems 2002

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