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In Finite Element Methods (FEM), a boundary value problem is a set of differential equations with a solution, which also satisfies some additional constraints, known as ___

In Finite Element Methods (FEM), a boundary value problem is a set of differential equations with a solution, which also satisfies some additional constraints, known as ___ Correct Answer boundary conditions

A boundary value problem is a set of differential equation with a solution, which also satisfies some additional constraints, called the boundary conditions. Nodal Values are the values of a variable at each node obtained as a result of finite element analysis. Equilibrium equations are used in free body diagrams.

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The function shown is the solution of the differential equation (assuming all initial conditions to be zero) is
A 60% spirit solution is mixed with r% spirit solution in the ratio 1 : 3 such that a s% spirit solution is obtained. When a (s/3)% spirit solution is mixed with 55% spirit solution in equal ratio, an (r/2)% spirit solution is obtained. Which of the following can be determined? (A) Value of ‘r’ (B) Value of ‘s’ (C) Volume of the 60% spirit solution mixed initially (D) If 9 liters of r% spirit solution was mixed initially, what was the volume of the s% spirit solution thus obtained?
A wave is first reflected by a boundary P and then by a boundary Q without dissipating energy. If the boundary P is rigid and the boundary Q is non-rigid, then find the fraction of the amplitude of the reflected wave by boundary P to the reflected wave by boundary Q.
In the question given below are two conclusions followed by five statements. You have to choose the correct set of statements that logically satisfies conclusions. Conclusions: I. Some Star are Moon II. Some Sun are not Mars Statements: I. Some Sun are Moon, Some Moon are star and No star is Mars. II. Some Sun are Moon, All Moon are Star and No Star is Mars. III. All Sun are Moon, All Moon are Star and Some Star are Mars. IV. All Sun are Moon, Some Moon are Star and No Star is Mars. V. Some Sun are Moon, Some Moon are Star and No Moon is Mars.
A chemical solution appears green when the salt concentration is 8 grams per litre (gpl) and red when it is 10 gpl. Pure water was added to the solution of 1 litre of 15 gpl solution till it turned green. Then 125 ml of the green solution is taken out and x grams of salt is added to the green solution to make it red. Another 500 ml of the final solution was taken out and y litres of green solution is added to get a resultant solution of concentration 9.6 gpl.  Assume adding salt doesn’t change its volume and find the ratio of x and y. 
In Finite Element Method (FEM), choose the incorrect option regarding to the dimensions (mm) of elements in a finite element mesh?
In the Lagrange multiplier method, a constrained problem is reformulated as one of finding the stationary points of an unconstrained function, whereas in the penalty method, a problem with differential constraints is reformulated to one without constraints.
In Finite Element Method (FEM), for discretization purpose in general, a refined mesh is employed in areas where changes in geometry, boundary conditions, loading, material properties or solution are present.
The simultaneous linear equations used in FEM for solution of static problems are KX=F, the methods available for solving these equations are divided into two types: direct and iterative.
In Finite Element Methods (FEM), in two-dimensional problems, we approximate solution on a domain but not the domain itself.