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A survey on direct solvers for Galerkin methods
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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International Journal for Numerical Methods in Fluids
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Iterative solvers for 3D linear and nonlinear elasticity problems: Displacement and mixed formulations
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Discontinuous Galerkin methods
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Mixed and Hybrid Finite Element Methods
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The finite element method. Linear static and dynamic finite element analysis
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Hierarchies of conforming finite elements for plane elasticity and plate bending
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Nodal variables for complete conforming finite elements of arbitrary polynomial order
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Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
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Integration of hp-adaptivity and a two-grid solver for elliptic problems
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Integration of hp-adaptivity and a two grid solver for electromagnetic problems
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Isogeometric analysis of structural vibrations
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Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
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Fourier series expansion in a non-orthogonal system of coordinates for the simulation of 3D-DC borehole resistivity measurements
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Isogeometric analysis of the Cahn–Hilliard phase-field model
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Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes
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Efficient quadrature for NURBS-based isogeometric analysis
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Isogeometric analysis using T-splines
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Patient-specific isogeometric fluid–structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device
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Sparse direct factorizations through unassembled hyper-matrices
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The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers
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High-performance computing of wind turbine aerodynamics using isogeometric analysis
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A fast direct solver for elliptic problems on general meshes in 2D
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A fast nested dissection solver for Cartesian 3D elliptic problems using hierarchical matrices
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A parallel direct solver for the self-adaptive hp Finite Element Method
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Hybrid scheduling for the parallel solution of linear systems
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Computational complexity and memory usage for multi-frontal direct solvers used in p finite element analysis
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Graph Grammar-Based Multi-Frontal Parallel Direct Solver for Two-Dimensional Isogeometric Analysis
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A parallel multifrontal algorithm and its implementation
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The Finite Element Method for Elliptic Problems
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Domain decomposition: Parallel multilevel methods for elliptic partial differential equations
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Towards a Tighter Coupling of Bottom-Up and Top-Down Sparse Matrix Ordering Methods
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A mechanism to thin the continental lithosphere at magma-poor margins
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Small-scale systems for in vivo drug delivery
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Cancer nanotechnology: opportunities and challenges
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The Finite Element Method for Elliptic Problems
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The Dynamics of Plate Tectonics and Mantle Flow: From Local to Global Scales
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Parallel Symbolic Factorization for Sparse LU with Static Pivoting
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Nested Dissection of a Regular Finite Element Mesh
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Complexity Bounds for Regular Finite Difference and Finite Element Grids
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Superfast Multifrontal Method for Large Structured Linear Systems of Equations
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The Multifrontal Method for Sparse Matrix Solution: Theory and Practice
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Multigrid Method for Maxwell's Equations
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An Approximate Minimum Degree Ordering Algorithm
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A numerical evaluation of sparse direct solvers for the solution of large sparse symmetric linear systems of equations
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The Multifrontal Solution of Indefinite Sparse Symmetric Linear
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Parallel frontal solvers for large sparse linear systems
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Computing with hp-ADAPTIVE FINITE ELEMENTS
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Computing with hp-ADAPTIVE FINITE ELEMENTS
inferredcites →https://doi.org/10.1260/1756-8293.5.2.109openalex-snapshot
Global-Local Optimization of Flapping Kinematics in Hovering Flight
inferredcites →https://doi.org/10.21136/mb.2002.134156openalex-snapshot
An introduction to hierarchical matrices
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Integration of hp-Adaptivity and a Two Grid Solver. II. Electromagnetic Problems
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Stochastic Modeling of Incident Gust Effects on Aerodynamic Lift
inferredcites →https://doi.org/10.3970/cmes.2010.057.225openalex-snapshot
Shape Memory Alloy: from Constitutive Modeling to Finite Element Analysis of Stent Deployment
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Computational complexity and memory usage for multi-frontal direct solvers in structured mesh finite elements
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Numerical solution of partial differential equations by the finite element method
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GRAMMAR BASED MULTI-FRONTAL SOLVER FOR ISOGEOMETRIC ANALYSIS IN 1D
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Residual Minimization for Isogeometric Analysis in Reduced and Mixed Forms
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High-Order Discretisations and Efficient Direct Space-Time Finite Element Solvers for Parabolic Initial-Boundary Value Problems
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Generalization of the Pythagorean Eigenvalue Error Theorem and Its Application to Isogeometric Analysis
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A quadrature-free method for simulation and inversion of 1.5D direct current (DC) borehole measurements
inferred← citeshttps://doi.org/10.1007/s10596-018-9744-6openalex-snapshot
Finite element simulations of logging-while-drilling and extra-deep azimuthal resistivity measurements using non-fitting grids
inferred← citeshttps://doi.org/10.1007/s10596-018-9751-7openalex-snapshot
Fast 2.5D finite element simulations of borehole resistivity measurements
inferred← citeshttps://doi.org/10.1007/s10596-022-10182-2openalex-snapshot
Iterative solution methods for 3D controlled-source electromagnetic forward modelling of geophysical exploration scenarios
inferred← citeshttps://doi.org/10.1007/s10915-025-03038-1openalex-snapshot
Efficient Direct Space-time Finite Element Solvers for the Wave Equation in Second-order Formulation
inferred← citeshttps://doi.org/10.1007/s40324-024-00361-9openalex-snapshot
Numerical analysis of the Brusselator model with Robin boundary conditions
inferred← citeshttps://doi.org/10.1016/j.cageo.2016.01.009openalex-snapshot
Evaluation of parallel direct sparse linear solvers in electromagnetic geophysical problems
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Dispersion optimized quadratures for isogeometric analysis
inferred← citeshttps://doi.org/10.1016/j.cma.2017.03.029openalex-snapshot
Dispersion-optimized quadrature rules for isogeometric analysis: Modified inner products, their dispersion properties, and optimally blended schemes
inferred← citeshttps://doi.org/10.1016/j.cma.2018.02.006openalex-snapshot
Refined Isogeometric Analysis for a preconditioned conjugate gradient solver
inferred← citeshttps://doi.org/10.1016/j.jcp.2013.08.041openalex-snapshot
Domain decomposition Fourier finite element method for the simulation of 3D marine CSEM measurements
inferred← citeshttps://doi.org/10.1016/j.pepi.2025.107465openalex-snapshot
Effective gauss-newton inversion for 3D magnetotelluric data with arbitrarily anisotropic conductivities
inferred← citeshttps://doi.org/10.1016/j.procs.2013.05.327openalex-snapshot
Graph Grammar Based Direct Solver for Hp-adaptive Finite Element Method with Point Singularities
inferred← citeshttps://doi.org/10.1016/j.procs.2017.05.143openalex-snapshot
Quadrature blending for isogeometric analysis
inferred← citeshttps://doi.org/10.1093/gji/ggt055openalex-snapshot
Three-dimensional parallel distributed inversion of CSEM data using a direct forward solver
inferred← citeshttps://doi.org/10.1093/gji/ggu119openalex-snapshot
Robust and scalable 3-D geo-electromagnetic modelling approach using the finite element method
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Efficient Direct Space-Time Finite Element Solvers for Parabolic Initial-Boundary Value Problems in Anisotropic Sobolev Spaces
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Comparison of iterative and direct solvers for 3D CSEM modeling
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