Fixed stress splitting approach for contact problems in a porous medium

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Almani, Tameem, Kumar, Kundan
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Upscaling of unsaturated flow in fractured porous media
by: List, Florian, et al.
Published: (2018)

Convergent adaptive iterative schemes for solving multi-physics problems
by: Stokke, Jakob S., et al.
Published: (2026)

Barenblatt solutions for the time-fractional porous medium equation: approach via integral equations
by: Caballero, Josefa, et al.
Published: (2025)

A fourth-order active flux method for parabolic problems with application to porous medium equation
by: Duan, Junming
Published: (2025)

Nonconforming virtual element method for an incompressible miscible displacement problem in porous media
by: Kumar, Sarvesh, et al.
Published: (2024)

Finite element approximation of an anisotropic porous medium equation with fractional pressure
by: Fronzoni, Stefano
Published: (2026)

Convergence analysis of a nonconforming virtual element method for compressible miscible displacement problems in porous media
by: Kumar, Sarvesh, et al.
Published: (2024)

A fixed-stress type splitting method for nonlinear poroelasticity
by: Kraus, Johannes, et al.
Published: (2023)

A convergent finite difference-quadrature scheme for the porous medium equation with nonlocal pressure
by: del Teso, Félix, et al.
Published: (2023)

Stability of solutions of the porous medium equation with growth with respect to the diffusion exponent
by: Dębiec, Tomasz, et al.
Published: (2024)

A History-dependent Dynamic Biot Model
by: Stokke, Jakob S., et al.
Published: (2024)

Implicit-Explicit schemes for decoupling multicontinuum problems in porous media
by: Vasilyeva, Maria
Published: (2024)

Inverse medium problems, saddle point formulation
by: Ito, Kazufumi
Published: (2024)

Parameter unbounded Uzawa and penalty-splitted accelerated algorithms for frictionless contact problems
by: Koliesnikova, Daria, et al.
Published: (2026)

A splitting-based KPIK method for eddy current optimal control problems in an all-at-once approach
by: Zeng, Min-Li, et al.
Published: (2024)

Non-conforming FEM for the quasi-static contact problem
by: Porwal, Kamana, et al.
Published: (2024)

On a PDE-based material parameter identification problem with contact constraints
by: Hubmer, Simon, et al.
Published: (2026)

Multicontinuum splitting scheme for multiscale flow problems
by: Efendiev, Yalchin, et al.
Published: (2024)

Multicontinuum splitting schemes for multiscale wave problems
by: Alshahrani, Mohsen, et al.
Published: (2025)

A domain decomposition approach to pore-network modeling of porous media flow
by: Sun, Shuyu, et al.
Published: (2025)

On the convergence of split exponential integrators for semilinear parabolic problems
by: Caliari, Marco, et al.
Published: (2025)

A high-fidelity material point method for frictional contact problems
by: Kakouris, Emmanouil G., et al.
Published: (2024)

On the parallel solution of hydro-mechanical problems with fracture networks and contact conditions
by: Stebel, Jan, et al.
Published: (2023)

Stabilization-free virtual element method for 2D third medium contact
by: Xu, Bing-Bing, et al.
Published: (2025)

Convergence rates of particle approximation of forward-backward splitting algorithm for granular medium equations
by: Benko, Matej, et al.
Published: (2024)

An efficient splitting iteration for a CDA-accelerated solver for incompressible flow problems
by: Fisher, Victoria L., et al.
Published: (2025)

PML-based boundary integral equation method for electromagnetic scattering problems in a layered-medium
by: Bao, Gang, et al.
Published: (2024)

An iterative constraint energy minimizing generalized multiscale finite element method for contact problem
by: Li, Zishang, et al.
Published: (2024)

Multiscale modeling for contact problem with high-contrast heterogeneous coefficients with primary-dual formulation
by: Li, Zishang, et al.
Published: (2025)

Boundary corrections for splitting methods in the time integration of multidimensional parabolic problems
by: Gonzalez-Pinto, S., et al.
Published: (2024)

An adaptive low-rank splitting approach for the extended Fisher--Kolmogorov equation
by: Zhao, Yong-Liang, et al.
Published: (2022)

Pointwise A posteriori error control of quadratic Discontinuous Galerkin Methods for the unilateral contact problem
by: Khandelwal, Rohit, et al.
Published: (2024)

Adapted Lie splitting method for convection-diffusion problems with singular convective term
by: Dang, Thi Tam, et al.
Published: (2024)

Convergence analysis of contrast source inversion type methods for acoustic inverse medium scattering problems
by: Hu, Qiao, et al.
Published: (2025)

A robust framework for frictional fault contact in geological formations using a stabilized augmented Lagrangian approach
by: Frigo, Matteo, et al.
Published: (2025)

Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem
by: Bartman, Piotr, et al.
Published: (2019)

A low-order automatic domain splitting approach for nonlinear uncertainty mapping
by: Losacco, Matteo, et al.
Published: (2023)

A deep learning approach to inverse medium scattering: Learning regularizers from a direct imaging method
by: Li, Kai, et al.
Published: (2025)

An orthogonality-preserving approach for eigenvalue problems
by: Chu, Tianyang, et al.
Published: (2025)

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
ui	"standard"
language	"en"
VUFIND_SESSION	"2f7494224b0dfdefbf0a6da1fed2f510"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790951435.4731 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "2f7494224b0dfdefbf0a6da1fed2f510" ]`]
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	"ui=standard; language=en; VUFIND_SESSION=2f7494224b0dfdefbf0a6da1fed2f510"
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	"32903"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2407_13459/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2407_13459/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790951435.4687
REQUEST_TIME	1790951435

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
ui	"standard"
language	"en"
VUFIND_SESSION	"2f7494224b0dfdefbf0a6da1fed2f510"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790951435.4731 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "2f7494224b0dfdefbf0a6da1fed2f510" ]`]
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	"ui=standard; language=en; VUFIND_SESSION=2f7494224b0dfdefbf0a6da1fed2f510"
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	"32903"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2407_13459/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2407_13459/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790951435.4687
REQUEST_TIME	1790951435

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: