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一、引言对复杂工程问题的分析,几乎都是采用某种数值方法来逼近支配物理问题的数学方程。采用何种方法是重要的,因为它将影响到计算结果的精度以及解的繁简。经典的有限元方法是目前应用最广泛的求解方法。有时将经典的有限元方法称为虚功方法。在此我们宁可将它叙述为加数剩余法,以便对非线性问题,时间相关问题以及对于变分或能量泛函为未知的其他情况可用一般表达式来运算。利用加权剩余法就能更好地理解混合和杂交有限元公式的建
I. INTRODUCTION Analysis of complex engineering problems is almost always using a numerical method to approximate the mathematical equations that govern the physics problem. Which method is used is important because it will affect the accuracy of the calculation results and the complication of the solution. The classical finite element method is currently the most widely used solution method. Sometimes the classical finite element method is called a virtual work method. Here we would rather describe it as an additive residual method, so that it can be computed using general expressions for nonlinear problems, time-dependent problems, and other situations where the variational or energy functionalities are unknown. The weighted residual method can be used to better understand the construction of hybrid and hybrid finite element formulas