Results 151 to 160 of about 121,771 (265)

The von Neumann Stability Analysis of the Fixed‐Stress Schemes in Poroelastodynamics

open access: yesInternational Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 4, Page 1939-1951, March 2026.
ABSTRACT We investigate splitting schemes based on the fixed‐stress sequential approach for poroelastodynamic problems. To assess numerical stability, we perform the von Neumann stability analysis on several fixed‐stress schemes for poroelastodynamics, including staggered, stabilized, and iterative methods. Our analysis reveals that while the staggered
Jihoon Kim   +2 more
wiley   +1 more source

Absolutely minimal semi-Lipschitz extensions. [PDF]

open access: yesCalc Var Partial Differ Equ
Daniilidis A, Lê TM, Venegas FM.
europepmc   +1 more source

On the Convergence of Conjugate Gradient and GMRES Algorithms in the Forward Backward Sweep Method for Optimal Control

open access: yesOptimal Control Applications and Methods, Volume 47, Issue 2, Page 498-510, March/April 2026.
Optimal control combines state and adjoint equations, which yield the state (x$$ x $$) and adjoint (lambda) variables as a function of the control variables (u$$ u $$). This structure allows us to design strategies for iteratively updating the control variable, based on conjugate gradient (CG) or GMRES algorithms.
N. Armengou‐Riera   +4 more
wiley   +1 more source

Hawking's Singularity Theorem for Lipschitz Lorentzian Metrics. [PDF]

open access: yesCommun Math Phys
Calisti M   +4 more
europepmc   +1 more source

Implicit Third‐Order Peer Triplets with Variable Stepsizes for Gradient‐Based Solutions in Large‐Scale ODE‐Constrained Optimal Control

open access: yesOptimal Control Applications and Methods, Volume 47, Issue 2, Page 570-588, March/April 2026.
Implicit third‐order Peer two‐step methods that are superconvergent for variable stepsizes have the potential to significantly improve the efficiency of solving large‐scale ODE‐constrained optimal control problems. These include real‐world applications in medical treatment planning for prostate cancer, such as the design of effective three‐dose drug ...
Jens Lang, Bernhard A. Schmitt
wiley   +1 more source

Toward Dynamic Phase‐Field Fracture at Finite Strains

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT We investigate the evolution of dynamic phase‐field fracture in the finite‐strain setting, extending our previous work in the small‐strain viscoelastodynamic regime. The elastodynamic equations are coupled with a dissipative damage evolution for the phase‐field variable z$z$.
Sven Tornquist   +4 more
wiley   +1 more source

Regularity Properties of Solutions of a Model for Morphoelastic Growth in the Presence of Nutrients in One Spatial Dimension

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT Regularity properties of solutions for a class of quasi‐stationary models in one spatial dimension for stress‐modulated growth in the presence of a nutrient field are proven. At a given point in time the configuration of a body after pure growth is determined by means of a family of ordinary differential equations in every point in space ...
Julian Blawid, Georg Dolzmann
wiley   +1 more source

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