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Zeitschrift

Journal of Scientific Computing

Journal of Scientific Computing OnlineFirst articles

07.11.2018

Physics-Based Balancing Domain Decomposition by Constraints for Multi-Material Problems

In this work, we present a new variant of the balancing domain decomposition by constraints preconditioner that is robust for multi-material problems. We start with a well-balanced subdomain partition, and based on an aggregation of elements …

02.11.2018

Error Estimates of Energy Stable Numerical Schemes for Allen–Cahn Equations with Nonlocal Constraints

We present error estimates for four unconditionally energy stable numerical schemes developed for solving Allen–Cahn equations with nonlocal constraints. The schemes are linear and second order in time and space, designed based on the energy …

31.10.2018

A Simplified Threshold Dynamics Algorithm for Isotropic Surface Energies

We present a simplified version of the threshold dynamics algorithm given in Esedoḡlu and Otto (Commun Pure Appl Math 68(5):808–864, 2015). The new version still allows specifying $$N\atopwithdelims ()2$$ N 2 possibly distinct surface tensions and …

30.10.2018

A Posteriori Error Analysis of the Crank–Nicolson Finite Element Method for Parabolic Integro-Differential Equations

We study a posteriori error analysis for the space-time discretizations of linear parabolic integro-differential equation in a bounded convex polygonal or polyhedral domain. The piecewise linear finite element spaces are used for the space …

30.10.2018

Error Analysis of a Second-Order Method on Fitted Meshes for a Time-Fractional Diffusion Problem

Alikhanov’s high-order scheme for Caputo fractional derivatives of order $$\alpha \in (0,1)$$ α ∈ ( 0 , 1 ) is generalised to nonuniform meshes and analysed for initial-value problems (IVPs) and initial-boundary value problems (IBVPs) whose …

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Journal of Scientific Computing is an international interdisciplinary forum for the publication of papers on state-of-the-art developments in scientific computing and its applications in science and engineering.

The journal publishes high-quality, peer-reviewed original papers, review papers and short communications on scientific computing.

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