2 citations · 4 across the 6 of their papers we have counts for
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Conservative Finite Element Methods for Kirchhoff-Type Equations
Benjamin Dörich, Felix Krumbiegel, Jemal Rogava +2
We construct and analyse a fully discrete scheme for a Kirchhoff-type nonlinear integro-differential equation in two spatial dimensions with time-dependent coefficients. The scheme…
Conservative Three-Layer Schemes for Kirchhoff-Type Equations
Felix Krumbiegel, Jemal Rogava, Andreas Rupp +1
We study a Kirchhoff-type nonlinear integro-differential equation in two spatial dimensions whose coefficients are allowed to depend on time, and we construct conservative discreti…
On the Approximation of the Unitary Operator Group Associated with a Rotation Matrix and Its Applications to Abstract Hyperbolic Equations
Jemal Rogava, Zurab Vashakidze
The solution of the Cauchy problem for homogeneous abstract hyperbolic equations, together with its derivative, admits a vector representation in terms of a unitary operator group…
On the Numerical Treatment of an Abstract Nonlinear System of Coupled Hyperbolic Equations Associated with the Timoshenko Model
Jemal Rogava, Zurab Vashakidze
The present work addresses the Cauchy problem for an abstract nonlinear system of coupled hyperbolic equations associated with the Timoshenko model in a real Hilbert space. Our pur…