MURPHY -- A scalable multiresolution framework for scientific computing on 3D block-structured collocated grids

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autores principales:	Gillis, Thomas, van Rees, Wim M.
Formato:	Preprint
Publicado:	2021
Materias:	Numerical Analysis Computational Physics 65M04, 65M50, 65M06
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

DDFEM: A Python Package for Diffuse Domain Methods
por: Benfield, Luke, et al.
Publicado: (2025)

Stable and asymptotic preserving space-time discretizations of a linear kinetic transport equation in diffusive scaling
por: Gjesteland, Anita, et al.
Publicado: (2026)

A collocation scheme that is equivalent to discontinuous Galerkin discretizations
por: Hicken, Jason
Publicado: (2026)

Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation
por: Biswas, Abhijit, et al.
Publicado: (2024)

Extending Irksome: improvements in automated Runge--Kutta time stepping for finite element methods
por: Kirby, Robert C., et al.
Publicado: (2024)

High-order Adaptive Rank Integrators for Multi-scale Linear Kinetic Transport Equations in the Hierarchical Tucker Format
por: Sands, William A., et al.
Publicado: (2024)

Volume Term Adaptivity for Discontinuous Galerkin Schemes
por: Doehring, Daniel, et al.
Publicado: (2026)

Dynamic-stabilization-based linear schemes for the Allen-Cahn equation with degenerate mobility: MBP and energy stability
por: Fu, Hongfei, et al.
Publicado: (2025)

Asymptotic preserving scheme for the shallow water equations with non-flat bottom topography and Manning friction term
por: Huang, Guanlan, et al.
Publicado: (2026)

The Lax-Wendroff theorem for Patankar-type methods applied to hyperbolic conservation laws
por: Bender, Janina, et al.
Publicado: (2025)

Parameterization-driven arbitrary Lagrangian-Eulerian method for large-deformation isogeometric fluid-structure interaction
por: Li, Jingya, et al.
Publicado: (2026)

A Positivity-Preserving Relaxation Algorithm
por: Izgin, Thomas, et al.
Publicado: (2026)

A scalable high-order multigrid-FFT Poisson solver for unbounded domains on adaptive multiresolution grids
por: Poncelet, Gilles, et al.
Publicado: (2025)

Exponential Runge-Kutta methods of collocation type for parabolic equations with time-dependent delay
por: Huang, Qiumei, et al.
Publicado: (2025)

Multi-goal-oriented anisotropic error control and mesh adaptivity for time-dependent convection-dominated problems
por: Bause, Markus, et al.
Publicado: (2025)

Maximum-norm a posteriori error bounds for parabolic equations discretised by the extrapolated Euler method in time and FEM in space
por: Linß, Torsten, et al.
Publicado: (2024)

Hybrid Schwarz preconditioners for linear systems arising from hp-discontinuous Galerkin method
por: Dolejsi, Vit, et al.
Publicado: (2025)

A high order, block finite difference, error inhibiting scheme for the transport equation
por: Ditkowski, Adi, et al.
Publicado: (2024)

Stability theory of TASE-Runge-Kutta methods with inexact Jacobian
por: Conte, D., et al.
Publicado: (2024)

A semi-generating function approach to the stability of implicit-explicit multistep methods for nonlinear parabolic equations
por: Liao, Hong-lin, et al.
Publicado: (2026)

Automatic Variationally Stable Analysis for Finite Element Computations: Transient Convection-Diffusion Problems
por: Valseth, Eirik, et al.
Publicado: (2020)

High order Lagrange-Galerkin methods for the conservative formulation of the advection-diffusion equation
por: Bermejo, Rodolfo, et al.
Publicado: (2024)

On properties of an explicit in time fourth-order vector compact scheme for the multidimensional wave equation
por: Zlotnik, Alexander
Publicado: (2021)

Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations
por: Lampert, Joshua, et al.
Publicado: (2024)

Weighted finite difference methods for a nonlinear Klein--Gordon equation with high oscillations in space and time
por: Shi, Yanyan, et al.
Publicado: (2026)

Error Inhibiting Methods for Finite Elements
por: Ditkowski, Adi, et al.
Publicado: (2020)

On compact 4th order finite-difference schemes for the wave equation
por: Zlotnik, Alexander, et al.
Publicado: (2020)

On properties of a semi-explicit in time fourth-order vector compact scheme for the multidimensional acoustic wave equation
por: Zlotnik, Alexander, et al.
Publicado: (2024)

Constructing stable, high-order finite-difference operators on point clouds over complex geometries
por: Hicken, Jason, et al.
Publicado: (2024)

On the Stability Barrier of Hermite Type Discretizations of Advection Equations
por: Zeng, Xianyi
Publicado: (2025)

Error Inhibiting Methods for Finite Elements
por: Ditkowski, Adi, et al.
Publicado: (2024)

Active flux for triangular meshes for compressible flows problems
por: Abgrall, Rémi, et al.
Publicado: (2023)

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators
por: Barsukow, Wasilij, et al.
Publicado: (2025)

A hybrid numerical method for elastic wave propagation in discontinuous media with complex geometry
por: Granath, Andreas, et al.
Publicado: (2024)

Bound preserving {P}oint-{A}verage-{M}oment {P}olynomi{A}l-interpreted ({PAMPA}) on polygonal meshes
por: Abgrall, Rémi, et al.
Publicado: (2025)

Weighted finite difference methods for the semiclassical nonlinear Schrödinger equation with multiphase oscillatory initial data
por: Shi, Yanyan, et al.
Publicado: (2025)

An Efficient Space-Time Two-Grid Compact Difference Scheme for the Two-Dimensional Viscous Burgers' Equation
por: Peng, Xiangyi, et al.
Publicado: (2025)

Entropy-split multidimensional summation-by-parts discretization of the Euler and compressible Navier-Stokes equations
por: Worku, Zelalem Arega, et al.
Publicado: (2023)

GPU-Accelerated Energy-Conserving Methods for the Two-Dimensional Hyperbolized Serre-Green-Naghdi Equations
por: Wittenstein, Collin, et al.
Publicado: (2026)

On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws
por: Ranocha, Hendrik, et al.
Publicado: (2023)

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	"es"
VUFIND_SESSION	"50ea4ff255ea2d9235d8dca6dfb44691"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790359041.0897 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "50ea4ff255ea2d9235d8dca6dfb44691" ]`]
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=es; VUFIND_SESSION=50ea4ff255ea2d9235d8dca6dfb44691; 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	"216.73.216.147"
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	"52028"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2112_07537/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2112_07537/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790359041.0733
REQUEST_TIME	1790359041

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler