The Long Shadow of Karl Weierstraß Over the Calculus of Variations
ABSTRACT At first glance, it appears that the contents of Karl Weierstraß's (1815–1897) lecture courses on the calculus of variations were made available to the public only in the seventh volume of his Mathematische Werke, and thus not until 30 years after his death.
Peter Ullrich
wiley +1 more source
A Finite-Difference Summation-by-Parts Conditionally Stable Partitioned Algorithm for Conjugate Heat Transfer Problems. [PDF]
Nataj S +3 more
europepmc +1 more source
Model Adjustments and Solver Construction for Galvanic Cells Based on NPP‐Systems
ABSTRACT Electroplated coatings on metallic substrates have a wide range of practical applications ranging from corrosion or wear protection on parts, good conductivity on electrical contacts to coating systems for bipolar plates in fuel cells. The large field of applications in electrochemical engineering motivates several questions for scientific ...
Stephan Daniel Schwöbel +2 more
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Solving quadratic forms in restricted variables with the circle method. [PDF]
Wessel M, Verth SZ.
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Study of Liquid Flow Through a Channel With Adjacent Porous Domains of Different Material Properties
ABSTRACT A common subject in engineering disciplines is the study of flow in and around fractures or channels with adjacent porous domains. In this work, a unified approach based on the Theory of Porous Media (TPM) with an embedded Phase‐Field (PF) fracture model is used to investigate a flow scenario, where a channel separates two porous domains with ...
Yann Rivas +5 more
wiley +1 more source
Positivity-Preserving Hybridizable Discontinuous Galerkin Scheme for Solving PNP Model. [PDF]
Morales D, Xu Z.
europepmc +1 more source
Simultaneous Optimization of Design Layout and Material Properties in Reinforced Concrete Structures
ABSTRACT The sustainable transformation of the building sector requires the design of mechanically efficient civil engineering structures, the consideration of material properties in the design layout plays an important role in this context. Steel‐reinforced concrete is an anisotropic bi‐material composite, which represents one of the most popular ...
Daniela Masarczyk +2 more
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Explicit electrothermal LLP VO<sub>2</sub> model reproducing Preisach like hysteresis for memristive and neuromorphic devices. [PDF]
Sena BASF, de Almeida LAL.
europepmc +1 more source
On the Computation of Crack Surface Normals in the Phase‐Field Model of Hydraulic Fracture
ABSTRACT Hydraulic fracturing techniques have been used to extract oil from the Earth's crust and to enhance the efficiency of geothermal systems among other applications. Numerical simulation of hydraulic fracturing is essential for predicting the environmental impact of this method, as well as its efficiency in such applications. In the present work,
Anuj Gupte +2 more
wiley +1 more source
A Self-Consistent Phase Field Crystal Method for Twisted Bilayer Graphene. [PDF]
Wang P, Liu K.
europepmc +1 more source

