Normal-normal continuous symmetric stresses in mixed finite element elasticity

Fuente: arXiv

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Carstensen, Carsten, Heuer, Norbert
Format:	Preprint
Veröffentlicht:	2025
Schlagworte:	Numerical Analysis
Online-Zugang:	Acceder al recurso
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Ähnliche Einträge

Normal-normal continuous symmetric stress approximation in three-dimensional linear elasticity
von: Carstensen, Carsten, et al.
Veröffentlicht: (2025)

A fractional-order trace-dev-div inequality
von: Carstensen, Carsten, et al.
Veröffentlicht: (2024)

Multipoint stress mixed finite element methods for elasticity on cuboid grids
von: Yazici, Ibrahim, et al.
Veröffentlicht: (2025)

Four-field mixed finite elements for incompressible nonlinear elasticity
von: Badia, Santiago, et al.
Veröffentlicht: (2026)

Geometrical mixed finite element methods for fourth order obstacle problems in linearised elasticity
von: Piersanti, Paolo, et al.
Veröffentlicht: (2024)

Multipoint stress mixed finite element methods for the linear Cosserat equations
von: Boon, Wietse M., et al.
Veröffentlicht: (2025)

Boundary elements for clamped Kirchhoff--Love plates
von: Führer, Thomas, et al.
Veröffentlicht: (2026)

Locking-free hybrid high-order method for linear elasticity
von: Carstensen, Carsten, et al.
Veröffentlicht: (2024)

Mixed finite elements for Kirchhoff-Love plate bending
von: Führer, Thomas, et al.
Veröffentlicht: (2023)

Mixed finite element and TPSA finite volume methods for linearized elasticity and Cosserat materials
von: Nordbotten, Jan Martin, et al.
Veröffentlicht: (2024)

Analysis of a $\boldsymbol{P}_1\oplus \boldsymbol{RT}_0$ finite element method for linear elasticity with Dirichlet and mixed boundary conditions
von: Li, Hongpeng, et al.
Veröffentlicht: (2024)

Intrinsic mixed finite element methods for linear Cosserat elasticity
von: Dziubek, Andrea, et al.
Veröffentlicht: (2024)

A broken Hardy inequality on finite element space and application to strain gradient elasticity
von: Liao, Yulei, et al.
Veröffentlicht: (2025)

A locking-free mixed virtual element discretization for the two dimensional elasticity eigenvalue problem
von: Lepe, Felipe, et al.
Veröffentlicht: (2026)

Mixed Finite element method for stress gradient elasticity
von: Lin, Ting, et al.
Veröffentlicht: (2025)

A finite element method preserving the eigenvalue range of symmetric tensor fields
von: Amiri, Abdolreza, et al.
Veröffentlicht: (2026)

A mixed Petrov-Galerkin Cosserat rod finite element formulation
von: Herrmann, Marco, et al.
Veröffentlicht: (2025)

Multiscale mortar mixed finite element methods for the Biot system of poroelasticity
von: Jayadharan, Manu, et al.
Veröffentlicht: (2022)

Comparison of random field discretizations for high-resolution Bayesian parameter identification in finite element elasticity
von: Vanmechelen, Pieter, et al.
Veröffentlicht: (2025)

An HHT-$α$-based finite element framework for wave propagation in constitutively nonlinear elastic materials
von: Mallikarjunaiah, S. M.
Veröffentlicht: (2026)

Generalized mixed and primal hybrid methods with applications to plate bending
von: Heuer, Norbert
Veröffentlicht: (2024)

On the numerical evaluation of wall shear stress using the finite element method
von: Brunátová, Jana, et al.
Veröffentlicht: (2025)

Unique continuation principles for finite-element discretizations of the Laplacian
von: Cox, Graham, et al.
Veröffentlicht: (2024)

Optimal finite element approximation of unique continuation
von: Burman, Erik, et al.
Veröffentlicht: (2023)

Quasi-Monte Carlo sparse grid Galerkin finite element methods for linear elasticity equations with uncertainties
von: Clarke, M., et al.
Veröffentlicht: (2023)

A mixed finite element method for the stochastic Boussinesq equations with multiplicative noise
von: Vo, Liet
Veröffentlicht: (2025)

The stabilizer free weak Galerkin mixed finite elements method for the biharmonic equation
von: Gu, Shanshan, et al.
Veröffentlicht: (2023)

Energy-stable mixed finite element methods for the Rosensweig ferrofluid flow model
von: Wu, Yongke, et al.
Veröffentlicht: (2024)

Analysis of divergence-preserving unfitted finite element methods for the mixed Poisson problem
von: Lehrenfeld, Christoph, et al.
Veröffentlicht: (2023)

Tensor finite elements for smectic liquid crystals
von: Führer, Thomas, et al.
Veröffentlicht: (2025)

On the discrete equivalence of Lagrangian, Hamiltonian and mixed finite element formulations for linear wave phenomena
von: Brugnoli, Andrea, et al.
Veröffentlicht: (2024)

Helmholtz preconditioning for the compressible Euler equations using mixed finite elements with Lorenz staggering
von: Lee, David, et al.
Veröffentlicht: (2024)

Splitting-strategies for arbitrary-order fully mixed finite element discretizations of the Biot equations
von: Bertrand, Fleurianne, et al.
Veröffentlicht: (2026)

Two Nitsche-based mixed finite element discretizations for the seepage problem in Richards' equation
von: Gatti, Federico, et al.
Veröffentlicht: (2024)

Symmetric unisolvent equations for linear elasticity purely in stresses
von: Sky, Adam, et al.
Veröffentlicht: (2024)

On energy-dissipative finite element approximations for rate-type viscoelastic fluids with stress diffusion
von: Trautwein, Dennis
Veröffentlicht: (2024)

A finite element model to analyze crack-tip fields in a transversely isotropic strain-limiting elastic solid
von: Ghosh, Saugata, et al.
Veröffentlicht: (2025)

A nonconforming P2 and discontinuous P1 mixed finite element on tetrahedral grids
von: Zhang, Shangyou
Veröffentlicht: (2024)

A nonconforming P3 and discontinuous P2 mixed finite element on tetrahedral grids
von: Xu, Xuejun, et al.
Veröffentlicht: (2024)

An objective isogeometric mixed finite element formulation for nonlinear elastodynamic beams with incompatible warping strains
von: Choi, Myung-Jin, et al.
Veröffentlicht: (2024)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
language	"de"
VUFIND_SESSION	"0bf6046999ca89e9c23a5cfd111a7cdd"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790902910.3014 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "0bf6046999ca89e9c23a5cfd111a7cdd" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"language=de; VUFIND_SESSION=0bf6046999ca89e9c23a5cfd111a7cdd; ui=standard"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.217.142"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"31850"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2503_11493/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2503_11493/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790902910.2924
REQUEST_TIME	1790902910

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler