Hilbert complexes: analysis, applications, and discretizations. Abstracts from the workshop held June 19--25, 2022
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Publication:6115556
DOI10.4171/owr/2022/29zbMath1519.00027MaRDI QIDQ6115556
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Publication date: 10 August 2023
Published in: Oberwolfach Reports (Search for Journal in Brave)
Proceedings of conferences of miscellaneous specific interest (00B25) Collections of abstracts of lectures (00B05) Proceedings, conferences, collections, etc. pertaining to partial differential equations (35-06) Proceedings, conferences, collections, etc. pertaining to operator theory (47-06) Proceedings, conferences, collections, etc. pertaining to global analysis (58-06) Partial differential equations of mathematical physics and other areas of application (35Qxx) Special classes of linear operators (47Bxx) Partial differential equations on manifolds; differential operators (58Jxx) Elliptic equations and elliptic systems (35Jxx) General topics in partial differential equations (35Axx) General theory of differentiable manifolds (58Axx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mother operators and their descendants
- A class of discontinuous Petrov-Galerkin methods. III: Adaptivity
- Breaking spaces and forms for the DPG method and applications including Maxwell equations
- The Hodge-Laplacian. Boundary value problems on Riemannian manifolds
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- On the linearization of Regge calculus
- Intrinsic supersmoothness of multivariate splines
- On Bogovskiĭ and regularized Poincaré integral operators for de Rham complexes on Lipschitz domains
- Two families of mixed finite elements for second order elliptic problems
- An \(n\)-dimensional Clough-Tocher interpolant
- Mixed finite elements in \(\mathbb{R}^3\)
- Generalized finite element systems for smooth differential forms and Stokes' problem
- Nodal finite element de Rham complexes
- An adaptive DPG method for high frequency time-harmonic wave propagation problems
- Multigrid methods for Hellan-Herrmann-Johnson mixed method of Kirchhoff plate bending problems
- The TDNNS method for Reissner-Mindlin plates
- An analysis of the TDNNS method using natural norms
- Mixed finite elements for elasticity
- Boundary element methods for Maxwell's equations on non-smooth domains
- Orientation embedded high order shape functions for the exact sequence elements of all shapes
- A family of symmetric mixed finite elements for linear elasticity on tetrahedral grids
- Avoiding membrane locking with Regge interpolation
- A numerical study of the pollution error and DPG adaptivity for long waveguide simulations
- \(H^1\)-conforming finite element cochain complexes and commuting quasi-interpolation operators on Cartesian meshes
- Complexes from complexes
- Low-order divergence-free approximations for the Stokes problem on Worsey-Farin and Powell-Sabin splits
- A characterization of supersmoothness of multivariate splines
- The isotropic Cosserat shell model including terms up to \(O(h^5)\). I: Derivation in matrix notation
- The isotropic Cosserat shell model including terms up to \(O(h^5)\). II: Existence of minimizers
- Exact sequences on Powell-Sabin splits
- Complexes of discrete distributional differential forms and their homology theory
- Finite element differential forms on curvilinear cubic meshes and their approximation properties
- An adaptive multigrid solver for DPG methods with applications in linear acoustics and electromagnetics
- Model and computational advancements to full vectorial Maxwell model for studying fiber amplifiers
- Traces for Hilbert complexes
- Finite element systems for vector bundles: elasticity and curvature
- Finite element approximations of symmetric tensors on simplicial grids in ℝn: The lower order case
- Stokes Complexes and the Construction of Stable Finite Elements with Pointwise Mass Conservation
- A simplicial gauge theory
- An analysis of the practical DPG method
- Differential Forms and Boundary Integral Equations for Maxwell-Type Problems
- A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions
- TANGENTIAL-DISPLACEMENT AND NORMAL–NORMAL-STRESS CONTINUOUS MIXED FINITE ELEMENTS FOR ELASTICITY
- Geometric Finite Elements
- Finite elements in computational electromagnetism
- Finite element exterior calculus, homological techniques, and applications
- Efficient Time Integration of Maxwell's Equations with Generalized Finite Differences
- Locally Conservative Fluxes for the Continuous Galerkin Method
- Finite element exterior calculus: from Hodge theory to numerical stability
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Diamond elements: a finite element/discrete-mechanics approximation scheme with guaranteed optimal convergence in incompressible elasticity
- Spline Functions on Triangulations
- Traces of differential forms on Lipschitz domains, the boundary De Rham complex, and Hodge decompositions
- Analysis of Some Finite Elements for the Stokes Problem
- Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
- Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials
- The Hellan-Herrmann-Johnson Method: Some New Error Estimates and Postprocessing
- Canonical construction of finite elements
- Generalized wave propagation problems and discrete exterior calculus
- The Scott-Vogelius finite elements revisited
- First-Kind Boundary Integral Equations for the Hodge--Helmholtz Operator
- A new family of stable mixed finite elements for the 3D Stokes equations
- TRACES OF DIFFERENTIAL FORMS ON LIPSCHITZ BOUNDARIES
- Conforming discrete Gradgrad-complexes in three dimensions
- The Stokes complex: A review of exactly divergence–free finite element pairs for incompressible flows
- Hybridization and postprocessing in finite element exterior calculus
- Finite elements for divdiv conforming symmetric tensors in three dimensions
- Generalized finite difference schemes with higher order Whitney forms
- Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension
- A finite element elasticity complex in three dimensions
- Exact sequences on Worsey–Farin splits
- An equilibration-based a posteriori error bound for the biharmonic equation and two finite element methods
- High-Order Approximation of Gaussian Curvature with Regge Finite Elements
- Hodge Laplacians on Graphs
- The divDiv-complex and applications to biharmonic equations
- Systematisation of Systems Solving Physics Boundary Value Problems
- On linearised vacuum constraint equations on Einstein manifolds*
- Exact smooth piecewise polynomial sequences on Alfeld splits
- Discrete and conforming smooth de Rham complexes in three dimensions
- Inf-Sup Stable Finite Elements on Barycentric Refinements Producing Divergence--Free Approximations in Arbitrary Dimensions
- Equilibrated residual error estimator for edge elements
- Incompressible Finite Elements via Hybridization. Part II: The Stokes System in Three Space Dimensions
- Computing with hp-ADAPTIVE FINITE ELEMENTS
- Postprocessing schemes for some mixed finite elements
- A mass conserving mixed stress formulation for the Stokes equations
- Bernstein-Gelfand-Gelfand sequences
- The bubble transform: a new tool for analysis of finite element methods
- A Family of Finite Element Stokes Complexes in Three Dimensions
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