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An Adaptive Coupling of Edge-Based Smoothed FEM and SPH with a Bidirectional Element-Particle Transformation Algorithm for Laser Powder Bed Fusion. [PDF]
Suo M, Long T.
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The finite element neural network method to simulate two dimensional partial differential equations and perform parameter identification. [PDF]
Abda M +7 more
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Post-Processing Algorithm for Leg Electrical Impedance Imaging Integrating Boundary Attention Mechanism. [PDF]
Zhang L, Wang W.
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Breaking the Boundaries of Bayesian Optimization Utilizing Continuous Chemistry Digital Twins. [PDF]
Chau BT, Miyai Y, Roper TD.
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Corner Boundary Value Problems
Complex Analysis and Operator Theory, 2014If the boundary of a manifold has singularities, e.g., conical points or edges, then when dealing with boundary value problems, one may be forced to work with pseudo-differential operators with corner degenerated symbols. In this paper, elements of the corresponding corner pseudo-differential calculus are studied.
Chang, Der-Chen +2 more
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On fuzzy boundary value problems
Information Sciences, 2008The authors consider fuzzy numbers as normal, upper semi-continuous, strictly fuzzy-convex and bounded-supported mappings \(u:\mathbb{R}\longrightarrow [0,1]\). With this approach, the space of one-dimensional fuzzy numbers is taken as a closed convex cone in the Banach space \(C[0,1]\times C[0,1]\).
Minghao Chen 0002 +3 more
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A Note on a Boundary Value Problem
Southeast Asian Bulletin of Mathematics, 2000Consider Robin's boundary value problem \[ x''=f(t,x,x'),\quad a_0 x(0)-a_1 x'(0)=A,\quad b_0 x(1)-b_1 x'(1)=B, \] where \( A,B \) are arbitrary real numbers, and \(a_0, a_1, b_0, b_1 \) are nonnegative real constants. The author derives conditions on the function \(f\) and its derivatives under which there exists a unique solution to this problem.
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An Evolutionary Boundary Value Problem
Mediterranean Journal of Mathematics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aissa Benseghir, Mircea Sofonea
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On a Multidimensional Boundary Value Problem
Differential Equations, 2005The author considers the existence of a solution for a nonlinear boundary value problem of the form \[ \ddot z_j+ \sum^m_{i=1} b_{ij}(z)\dot z_i\dot z_j= 0,\quad z_j(0)= 0,\quad z_j(1)= 1,\quad j= 1,\dots, m, \] with the additional condition \(0\leq z_j(s)\leq 1\), \(0\leq s\leq 1\), \(j= 1,\dots, m\), where the \(b_{ij}(z)\) are smooth scalar ...
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